FUNCTIONAL ANALYSIS AND APPROXIMATION THEORY

Document Sample
FUNCTIONAL ANALYSIS AND APPROXIMATION THEORY Powered By Docstoc
					                   Acquafredda di Maratea – Potenza – Italy
                          September 24 – 30, 2009




   THE MARATEA CONFERENCES ON
      FUNCTIONAL ANALYSIS AND
       APPROXIMATION THEORY
                     from 1989 to 2009


                           An overview




Edited by the Organizing Committee of the 6th International Conference on
Functional Analysis and Approximation Theory – FAAT 2009
2
                                                                 Preface
                                                     The memories are a way
                                                           to meet up again
                                                                  (Kahlil Gibran)

       The project of organizing an international Conference on Functional
Analysis and Approximation Theory grew out from a felicitous hunch of Francesco
Altomare and Giuseppe Mastroianni in 1987 when, coming from the Universities
of Napoli and Bari, respectively, they got a professorship at the new University of
Basilicata, in Potenza. Soon involved in that project, Michele Campiti and
Biancamaria Della Vecchia participated enthusiastically in the initiative by offering
their invaluable collaboration.
       The main aim of the Conference was to bring together both experienced
scientists and young researchers in Functional Analysis and Approximation
Theory. This was meant to promote joint researches in these fields and to
encourage possible applications in other fields of Mathematics which are closer to
applied sciences such as partial differential equations, integral equations, numerical
analysis and stochastic analysis.
       The deep connections between Functional Analysis and Approximation
Theory are well established. Roughly speaking, Functional Analysis as well as
Operator Theory provide general methods and tools to focus and to solve several
problems arising from Approximation Theory: density theorems, approximation by
(positive) operators, best approximation, approximation in normed spaces, fixed
point theorems, Hilbert spaces methods, Banach spaces and Banach algebras
methods, function spaces, saturation, operator semigroups and so on.
       According to Felix E. Browder, we may say that “the role of Functional
Analysis has been decisive exactly in connection with classical problems. Almost
all problems are on the applications, where Functional Analysis enables one to
focus on a specific set of concrete analytical tasks and organize material in a clear
and transparent form so that you know what the difficulties are”.
      At that time, in Italy, apart from some outstanding but isolated scholars,
there wasn’t any well established schools in Functional Analysis nor in

                                                                                    3
Approximation Theory. Hence we planned to organize a scientific meeting, also in
order to create good opportunities for useful exchanges of ideas, fruitful
collaborations and aggregations between young and old researchers in those fields.
       Under these auspices, the first Maratea Conference was held in 1989, from
September 10 to September 15, in the wonderful resort of Acquafredda di Maratea.
The Conference was highly appreciated and there were about 140 participants. As a
result, we were encouraged to carry on our scientific project.
     After 1989 we organized four other editions in 1992, 1996, 2000, 2004 at the
same place and in each of them we had a high number of participants. This
demonstrated the great interest in the topics treated in the Maratea Conferences.
       For each edition we published a Proceedings volume which collects papers
related to the main lectures and the research talks delivered during the conference.
The first one was published as a Supplement of "Atti del Seminario Matematico e
Fisico dell'Università di Modena" and each of the other ones as a Supplement of
"Rendiconti del Circolo Matematico di Palermo".
     Following this tradition, we decided to organize the 6th edition of the
Maratea Conference this year, exactly twenty years after the first edition.
      On this occasion, we also decided to prepare the present booklet containing
the program, the list of participants and the titles of the papers published in the
Proceedings of each edition. Also, it includes a DVD with several photographs of
the participants.
       This booklet is intended to celebrate somehow the 20th anniversary of the
first edition, by collecting a few notable aspects of the previous editions of the
Maratea Conference. On this occasion we would like to acknowledge the generous
efforts of all people involved in the organization, through the years. To all of them
we express our special thanks.
       To live in the past doesn't always pay off; yet, memories can help pointing
out effective improvements and directions for a better future.

                                         The Organizing Committee
                                    of the 6th International Conference on
                                Functional Analysis and Approximation Theory




4
                                                                             Contents
 Preface ..............................................................................................3
 First Edition “Trends in Functional Analysis and
     Approximation Theory” .................................................................7
     o Program of the Conference ................................................................ 8
     o Index of the Proceedings’ volume ................................................... 15
 Second Edition “2nd International Conference on
     Functional Analysis and Approximation Theory” .......................19
     o Program of the Conference .............................................................. 20
     o Index of the Proceedings’ volume ................................................... 27
 Third Edition “3rd International Conference on Functional
     Analysis and Approximation Theory” .........................................31
     o Program of the Conference .............................................................. 32
     o Index of the Proceedings’ volume ................................................... 41
 Fourth Edition “4th International Conference on Functional
     Analysis and Approximation Theory” .........................................47
     o Program of the Conference .............................................................. 48
     o Index of the Proceedings’ volume ................................................... 57
 Fifth Edition “5th International Conference on Functional
     Analysis and Approximation Theory” .........................................63
     o Program of the Conference .............................................................. 64
     o Index of the Proceedings’ volume ................................................... 73
 Sixth Edition “6th International Conference on Functional
   Analysis and Approximation Theory” .........................................77
 List of the participants in at least one edition .................................79




                                                                                                            5
    The drawing represents a fine foreshortening of the Maratea coast:
    namely the inlet where the first edition of the Maratea Conference
    was held (Hotel Villa del Mare), September 11-15, 1989. It was
    made by Professor Lothar Collatz (1910-1990) during his
    participation in that Conference.


6
                                                     First Edition
                    Trends in Functional Analysis and
                               Approximation Theory
       September 11-15, 1989, Acquafredda di Maratea (PZ), Italy




Organizing Committee: Francesco Altomare, Michele Campiti, Biancamaria
Della Vecchia, Giuseppe Mastroianni



                                                                     7
                           Program of the Conference
                             MONDAY, SEPTEMBER 11
      9:00 a.m.                           Opening Ceremony
      10:30 a.m.                              Welcome drink
                   Chairman: G. Maltese
11:00 a.m.         V. Totik, Szeged
                   Applications of potentials in the theory of approximation and orthogonal
                   polynomials
12:00 a.m.         L. Collatz, Hamburg
                   Fixed point theorems and monotonicity

                                SECTION A                             SECTION B
                          Chairman: M. Valdivia                 Chairman: P. Vertesi
    3:00 p.m.      J. Prolla, Campinas                   D. Roux, Milano
                   Uniform approximation of              A regularization method for
                   continuous functions with values in   inversion of Fourier series
                   [0, 1]
    3:20 p.m.      J. Schmets, Liege                     L. Gotusso, Milano
                   Recent results about the CB(X: E)     Numerical results from a
                   spaces and applications               regularization method for inversion
                                                         of Fourier series
    3:40 p.m.      S. Dineen, Dublin                     C. Bardaro, Roma
                   The Schwarz lemma for Lp-spaces       Approximation properties of certain
                                                         non convolution integral operators
    4.00 p.m.      J. Zafarani, Isfahan                  G. Vinti, Perugia
                   Strict topologies and (DF)-spaces     Modular convergence in
                                                         generalized Orlicz spaces for
                                                         moment type operators
    4.20 p.m.      D. Kutzarova, Sofia                   M. Simkani, Michigan
                   Every (β)-space has the Banach-       A regular behavior in complex
                   Saks property                         polynomial Approximation
    4.40 p.m.                                        Break
    5.10 p.m.      M. Baronti, Ancona                    R. Bojanic, Columbus
                   Minimal projections and               Rate of approximation of some
                   hyperplanes of l∞                     operators of functions with
                                                         derivatives of bounded variation
    5.30 p.m.      C. D'Antoni, Roma                     B. Della Vecchia, Napoli
                   Nuclear maps and modular              Pointwise estimates for the
                   structure in Von Neumann algebras Shepard-Szabados interpolatory
                                                         procedure




8
 5.50 p.m.    M. Fragoulopoulou, Athens               S. Seatzu, Cagliari
              Symmetric topological *-algebras        Numerical inversion of the Laplace
                                                      transform with discrete data
 6.10 p.m.    L. Burlando, Genova                     D. Dryanov, Sofia
              Spectral continuità                     The minimal number of sample
                                                      values for recovery of non-
                                                      bandlimited functions
 6.30 p.m.    N. Bozhinov, Sofia                      V. Popov, Sofia
              Integral transformations generated      Applications of Approximation
              by joint root function expansions of    Theory in numerical methods
              nonlocal partial differential
              operators of first and second order
 6.50 p.m.    A. Plans, Saragoza                      E. Galeev, Moscow
              An intersection property for every      Approximation for classes of
              M-basis of a separable Banach           periodic functions
              space


                         TUESDAY, SEPTEMBER 12
              Chairman: V. Popov
9:00 a.m.     P. Nevai, Columbus
              Approximation theory, positive operators and orthogonal polynomials
10:00 a.m.    R. De Vore, Columbia
              Smoothness spaces and atomic decomposition
11.00 a.m.                                        Break
11:30 a.m.   L. Gatteschi, Torino
             Recent results on the zeros of classical orthogonal polynomials: a survey

                           SECTION A                                SECTION B
                     Chairman: J. B. Prolla                 Chairman: J. Szabados
 3:00 p.m.    R. Vassiliev, Annaba                    U. Amato, Napoli
              On the order of approximation of        Influence of derivative
              continuous functions by linear          approximation on regularized
              operators of finite rank and of class   solutions of integral equations
              Sm
 3.20 p.m.    R. Amiar, Annaba                        M. Lubuma, Trieste
              On quantitative theorems of             A generalization of the spaces Lp
              Korovkin's type for non positive
              linear operators

 3.40 p.m.    G. Kalyabin, Kuybishev                  M. Capobianco, Napoli
              Generalized moduli of smoothness        Convergence of a collocation
              and function spaces                     method for singular integral
                                                      equations



                                                                                           9
 4.00 p.m.    F. Altomare, Potenza                   G. Riccobono, Palermo
              Bounded positive Radon measures        On the sum of Darboux derivatives
              and their determining subspaces
 4.20 p.m.    M. Campiti, Potenza                    V. Kiryakova, Sofia
              Determining subspaces for              Generalized Poisson- and
              continuous positive discrete linear    Rodrigues-type (differ) integral
              forms                                  formulas for the pFq-and pϕq-
                                                     hypergeometric functions
 4.40 p.m.                                       Break
 5.10 p.m.    K. D. Schmidt, Mannheim                M. Mhaskar, Los Angeles
              Daugavet's equation and positive       Bounds on orthògonal polynomials
              operators                              and applications
 5.30 p.m.    T. Nishishiraho, Okinawa               P. Omari, Trieste
              Convergence of quasi-positive          Approximate solutions of nonlinear
              linear operators                       integral equations
 5.50 p.m.    M. Pannenberg, Münster                 A. Vecchio, Napoli
              Some characterizations of              Stability analysis of the discrete
              commutative Banach algebras via        collocation methods for the second
              Korovkin approximation theory          kind Volterra integral equation with
                                                     degenerate and with weakly
                                                     singular kernel
 6.10 p.m.    S. Romanelli, Bari                     J. De La Cal, Bilbao
              Universal Korovkin closures with       Probabilistic methods in
              respect to linear operators on         approximation theory: a general
              commutative Banach algebras            setting
 6.30 p.m.    W. Roth, Darmstadt                     M. Transirico, Salerno
              Ordered cones and approximation        Second elliptic equations in
                                                     unbounded domains
 6.50 p.m.    P. Aiena, Palermo                      L. Maligranda, Caracas
              On spectral properties of multipliers Orlicz interpolation theorem and
                                                     applications



                     WEDNESDAY, SEPTEMBER 13
              Chairman: M. R. Occorsio
9:00 a.m.     W. Gautschi, Lafayette
              Spline approximation and quadrature formulae
10:00 a.m.    G. Lumer, Mons
              New methods and results concerning the approximation and regularity of
              evolution equations
11.00 a.m.                                       Break
11:30 a.m.    G. Monegato, Torino
             Product integration for one-dimensional integral equations of Fredholm type



10
                      THURSDAY, SEPTEMBER 14
             Chairman: E. Obrecht
9:00 a.m.    R. Nagel, Tübingen
             Positivity in pure and applied Functional Analysis
10:00 a.m.   S. Prossdorf, Berlin
             Approximation methods for integral equations of Cauchy and Mellin type
11.00 a.m.                                      Break
11:30 a.m.   G. Maltese, Münster
             Integral representation theory in Banach algebras

                          SECTION A                              SECTION B
                    Chairman: S. Miyajima               Chairman: G. Milovanovic
 3:00 p.m.   M. Valdivia, Valencia                  P. Vertesi, Budapest
             Resolution of identity operator in     Hermite-Féjer interpolation of
             Banach spaces                          higher order
 3.20 p.m.   P. Terenzi, Milano                     J. Szabados, Budapest
             On the strong M-bases in Banach        On some problems in interpolation
             spaces                                 theory
 3.40 p.m.   G. Rao, Madras                         M. Heilman, Heidelberg
             Non expansive mappings and             Simultaneous approximation by
             proximality in normed almost linear operators of Baskakov-Durrmeyer
             spaces                                 type and by linear combinations
 4.00 p.m.   B. Limaye, Bombay                      L. Kocic, Nis
             Finite rank methods for a Sylvester    Linear positive operators and their
             equation                               degeneracy sets
 4.20 p.m.   J. Alonso, Badajoz                     D. Leviatan, Tel Aviv
             Complements on diminnie                On the Muntz-Jackson theorem
             orthogonality in normed linear
             spaces
 4.40 p.m.                                      Break
 5.10 p.m.   A. Cannizzo, Palermo                   F. Luquin, Bilbao
             Integral representations for a         A note on the approximation of the
             functional equation                    functions ln(x) and zero by
                                                    polynomials
 5.30 p.m.   A. Brown, Newcastle                    G. Milovanovic, Nis
             Best approximation by smooth           Integral Spline operators in CAGD
             function
 5.50 p.m.   W. Light, Lancaster                    X. Zhou, Duisburg
             The strang-fix conditions for          On a problem of Szabados
             functions with non-compact support
 6.10 p.m.   G. Marino, Cosenza                     A. Wojcik, Krakow
             Fixed points for multivalued           Some remarks on Bernstein
             mappings defined on unbounded          theorems
             sets in Banach spaces


                                                                                          11
 6.30 p.m.   E. Briem, Reykjavik                   F. Szafraniec, Krakow
             Operating functions for Banach        On bounded holomorphic
             spaces of continuous functions        interpolation in several variables
 6.50 p.m.   S. Totaro, Potenza                    T. Erdeliy, Columbus
             On the discrete ordinate method in    Inequalities for generalized
             particle transport                    polynomials and their applications


                         FRIDAY, SEPTEMBER 15
             Chairman: D. Roux
9:00 a.m.    C. Franchetti, Firenze
             Minimal projections onto hyperplanes in Banach spaces
10:00 a.m.   P. Papini, Bologna
             Polyhedral norms in infinite dimensional normed spaces

                          SECTION A                              SECTION B
                     Chairman: D. Amir                    Chairman: D. Leviatan
 3:00 p.m.   S. Miyajima, Tokyo                    E. Obrecht, Bologna
             Irreducible decomposition of mean     Functions having initial derivatives
             ergodic Markov semigroups on          in different Banach spaces
             C(X)
 3:20 p.m.   J. Myjak, L'Aquila                     A. Grabosch, Tübingen
             Porosity in Approximation Theory       A functional equation from cell
                                                    kinetics
 3.40 p.m.   G. Lewicki, Krakow                     F. Takeo, Tokyo
             Kolmogorov's type criterions for       Generalized vector measures and
             spaces of compact operators            Feynman path integrals
 4.00 p.m.   W. Wnuk, Poznan                        H. Watanabe, Tokyo
             Some characterizations of Banach       Countably sublinear functionals and
             lattices with order continuous norm Hausdorff measures
 4.20 p.m.   S. Dierolf, Trier                      D. Kolzow, Erlagen
             On a class of LF-spaces                Self-similarity and cloning by
                                                    Hamel type bases
 4.40 p.m.                                      Break
 5.10 p.m.   G. Metafune, Roma                      D. Funaro, Pavia
             On a class of quojections              Exact norm evaluation for
                                                    polynomials defined on Gauss-
                                                    Lobatto points
 5.30 p.m.   R. Beattie, Sackville
             Convergence and distributions




12
Participants in the Maratea Conference TFAAT 1989 during a coffee break.




                                                                           13
14
    Index of the Proceedings’ Volume




Trends in Functional Analysis and Approximation Theory,
Proceedings of the Conference held in Acquafredda di Maratea,
September 10-15, 1989, Atti del Seminario Matematico e Fisico
dell'Università di Modena, Monograf, Bologna 1991, pp. 1-456.


                                                                15
Program of the meeting ................................................................................. pag. IX
List of participants .......................................................................................... » XVII

PART I - INVITED LECTURES

L. COLLATZ: Applications of Functional Analysis and Approximation
     Theory to elliptic boundary problems .................................................. »                3
R. DURIER - P. L. PAPINI: Polyhedral norms and related properties in
     infinite-dimensional Banach spaces: a survey ...................................... » 17
T. ERDÉLYI - P. NEVAI - J. ZHANG - S. GERONIMO: A simple proof of
     «Favard's theorem» on the unit circ1e .................................................. » 41
W. GAUTSCHI: Spline approximation and quadrature formulae .................. » 47
G. MALTESE: Extreme positive functionals and ideals of finite
     codimension in commutative Banach *-algebras ................................. » 61
G. MONEGATO: Product integration for one-dimensional integral equations
     of Fredholm type ................................................................................... » 73
R. NAGEL: Order in pure and applied Functional Analysis .......................... » 87
S. PROSSDORF: Approximation methods for integral equations of Cauchy
     and Mellin type .................................................................................... » 103

PART II - CONTRIBUTED PAPERS

F. ALTOMARE: Convergence subspaces associated to discrete measures ... »                                           117
U. AMATO - M. R. OCCORSIO: Influence of the smoothing functional in
      the approximation of the first kind Fredholm integral equations .......... »                                 131
R. BATTIE - H. P. BUTZMANN: Convergence and distributions ............... »                                        145
R. BOJANIC - M. K. KHAN: Rate of convergence of some operators of
      functions with derivatives of bounded variation .................................. »                         153
L. BURLANDO: Spectral continuity ............................................................. »                   171
M. CAMPITI - I. RASA: Sets ofparabolic functions ..................................... »                           187
M. R. CRISCI - Z. JACKIEWICZ - E. RUSSO - A. VECCHIO: Global
      stability of exact collocation methods for Volterra integro-differential
      equations .............................................................................................. »   201
J. DE LA CAL - F. LUQUIN: Probabilistic methods in approximation
      theory. A general setting ...................................................................... »           211



16
B. DELLA VECCHIA - L. M. KOCIC: Linear positive operators and their
      degeneracy sets...................................................................................... »       223
B. DELLA VECCHIA - G. MASTROIANNI: A Nevai-Shepard type
      operators ............................................................................................... »   239
L. DE MICHELE - M. DI NATALE - D. ROUX: Sharp properties of a
      regularization method for inversion Fourier series .............................. »                           253
DINH-DUNG - D. DRYANOV: The minimal number of sample values for
      recovery of non-bandlimited functions ................................................ »                      269
M. FRAGOULOPOULOU: Simmetrie topological *-algebras. II .................. »                                        279
M. FRONTINI - L. GOTUSSO: How to regularize Fourier polynomials in
      order to avoid Gibbs phenomenon ....................................................... »                     289
E. GALEEV: Approximation for classes of periodic functions ..................... »                                  301
V. KYRYAKOVA: Poisson and Rodriguez type fractional differintegral
      formulas for the generalized hypergeometric functions pFq ................ »                                  311
F. LUQUIN: A note on the approximation of the functions lnx and zero by
      polynomials .......................................................................................... »      323
G. V. MILOVANOVIC - L. M. KOCIC: IntegraI spline operators in CAGD »                                                329
L. MORET - P. OMARI: A Krylov subspace method for the nonlinear
      operator equations ................................................................................ »         351
T. NISHISHIRAHO: Convergence of quasi-positive linear operators ........... »                                       367
M. PANNENBERG: When does a commutative Banach algebra possess a
      finite universal Korovkin system? ........................................................ »                  375
M. PANNENBERG - S. ROMANELLI: Korovkin approximation of
      operators in commutative involutive Banach algebras ......................... »                               387
C. RODRIGUEZ - S. SEATZU: On the numerical inversion of the Laplace
      transform with equally spaced data ....................................................... »                  401
J. SZABADOS: A new norm for the derivatives of Lagrange interpolation .. »                                          411
F. TAKEO: Generalized vector measures and Feynman path integrals ......... »                                        429
R. K. VASSILIEV: Sur l'ordre d'approximation des fonctions continues par
      les opérateurs linéaires de rang fini et de class Sm................................. »                       439
H. WATANABE: Countably sublinear functionals and Hausdorff measures »                                               447




                                                                                                                     17
18
                                                 Second Edition

                2nd International Conference in
Functional Analysis and Approximation Theory
       September 14-18, 1992, Acquafredda di Maratea (PZ), Italy




Organizing Committee: Francesco Altomare, Michele Campiti, Biancamaria
Della Vecchia, Giuseppe Mastroianni


                                                                    19
                       Program of the Conference
                         MONDAY, SEPTEMBER 14
 9:00 a.m.                                Opening Ceremony
              Chairman: H. Stahl
 10:30 a.m.   P. Nevai, Columbus
              Lower bounds for derivatives of orthogonal polynomials in various norms
 11:30 a.m.   D. Vogt, Wuppertal
              Splitting theorems with bounds
                            SECTION A                               SECTION B
                     Chairman: J. Szabados                    Chairman: W. Zelazko
 3:00 p.m.    P. Vertesi, Budapest                     B. Silbermann, Chemnitz
              On certain moduli of continuity          Banach algebras of operators and
                                                       symbol constructions
 3:20 p.m.    T. Hermann, Budapest                     J. Swart, Pretoria
              Rational interpolation of periodic       On the uniqueness of the norm on
              functions                                Calkin-like algebras
 3:40 p.m.    B. Della Vecchia, Napoli                 A. Ströh, Pretoria
              On some good interpolation               Precompact sets relative to operator
              systems of nodes                         algebras with applications to Riesz
                                                       and Fredholm theory
 4:00 p.m.    D. M. Matjila, Sovenga                   L. Zsido, Roma
              Lagrange interpolation associated        Applications of the duality theory
              with Freud weights                       for non commutative locally
                                                       compact groups
 4:20 p.m.    M. Ivan, Cluj-Napoca                     F. Beckhoff, Münster
              Generalized interpolation and            The minimal prime ideal space of a
              reproducing kernel                       C*-algebra
 4:40 p.m.                                         Break
 5:10 p.m.    D. Leviatan, Tel Aviv                    K. B. Laursen, Copenhagen
              The rate of convex polynomial            Multipliers on commutative Banach
              approximation                            algebras
 5.30 p.m.    R. Vasiliev, Moscow                      W. Bartoszek, Pretoria
              On an exact order of approximation On concentration functions and
              of the differentiable functions by a     asymptotic behaviour of iterates of
              sequen-ce of operators of class S2m convolution operators
 5:50 p.m.    I. Gavrea, Cluj-Napoca                   J. Martinez Centelles, Valencia
              About some approximation                 The essential spectral radius of
              operators                                dominated positive operators
 6:10 p.m.                                             C. Trapani, Palermo
                                                       Partial *-algebras of closable
                                                       operators



20
                     TUESDAY, SEPTEMBER 15
             Chairman: Y. Brudnyi
9:00 a.m.    Z. Ditzian, Edmonton
             Rate of convergence for some multivariate approximation processes
10:00 a.m.   G. Monegato, Torino
             Numerical approximation of hypersingular integrals
11:00 a.m.                                      Break
                    SECTION A                SECTION B               SECTION C
               Chair.: D. Leviatan      Chair.: D. M. Stone     Chair.: E. Obrecht
11:30 a.m    J. Szabados, Budapest U. Westphal,               R. Nagel, Tübingen
             Jackson order of         Hannover                Spectral and
             approximation by         Contractive project-    asymptotic properties
             Lagrange interpolation tions on sup-norm         of C0-semigroups
                                      spaces
11:50 a.m    H. Mhaskar, Los          S. Miyajima, Tokyo      A. Favini, Bologna
             Angeles                  Uniqueness of a         On some classes of
             Approximation            farthest point in a     analytic and Gevrey
             properties of multilay- bounded closed set in    semigroups
             ered neural networks     Banach spaces
12:10 a.m    J. Prestin, Rostock      D. Kutzarova, Sofia     W. Schappacher,
             Marcinkiewicz-           Factoring operators     Graz
             Zygmund-type             through nearly          A semigroup approach
             inequalities and         uniformly convex        to population dynamics
             Lagrange interpolation Banach spaces
                    SECTION A                SECTION B               SECTION C
                Chair.: P. Vertesi       Chair.: H. Bauer    Chair.: W. Schappacher
3:00 p.m.    Y. Brudnyi, Haifa        R. Beattie, Sackville   M. Voicu, Bucharest
             Whitney problem          Convergence LF          Integrated semigroups
                                      spaces                  on lcs and abstract
                                                              Cauchy problem
3:20 p.m.    G. Criscuolo, Napoli     M. Finzel, Erlangen     V. Vespri, Pavia
             A new quadrature         On the continuity of    Generation of analytic
             formula to evaluate      the strict approxima-   semigroups in non
             finite part integrals    tion                    smooth domains
3:40 p.m.    D. Occorsio, Potenza     J. Fourie,              D. Guidetti, Bologna
             A "good" interpolation Potchefstroom             Elliptic problems with
             matrix                   Absolutely summing      dynamic boundary
                                      multipliers             conditions
4:00 p.m.    H. H. Gonska,            F. Bastin, Liege        F. Lanzara, Roma
             Duisburg                 On bornological         Teoria degli operatori
             Simultaneous approx-     CV(X) spaces            intermedi e
             imation and global                               applicazioni
             smoothness
             preservation


                                                                                  21
 4:20 p.m.    A. P. Wójcik, Krakow      D. T. Vuza,
              Polynomial                Bucharest
              approximation of          A survey of the theory
              functions from Berns-     of principal modules
              tein- Zygmund classes     and its applications
 4:40 p.m.                                          Break
 5:10 p.m.    F. Caliò, Milano         S. Romanelli, Bari        J. M. Mazon, Valencia
              On the numerical         Approximation of          A non-linear version of
              evaluation of certain    operators between         Hunt-Lion's theorem from
              Cauchy principal         spaces of continuous      the point of view of T-ac-
              value integrals          weighted functions        cretivity
 5:30 p.m.    X. Zhou, Duisburg        S. Takahasi,              G. Lewicki, Krakow
              On Bernstein-            Yonezawa                  Extension of linear
              Kantorovic               BKW-operators on          operators from finite
              polynomials              function spaces           dimensional subspaces
 5:50 p.m.    N. Bozhinov, Sofia       J. Lopez Molina,          R. Rebowski, Wroclaw
              Root functions           Valencia                  Convergence of iterates
              expansions related to    Distinguished αpq         of averages of group
              non local boundary       tensor products of        representations
              value problems for       Fréchet spaces
              Sturm- Liouville dif-
              ferential and integro-
              differential operators
 6:10 p.m.    D. Dryanov, Sofia        A. Peris, Valencia        D. Yost, Milano
              Polynomials of           Quasinormability by       Lipschitz selections,
              minimal Lα-              operators                 extensions and
              deviation, α>0                                     retractions
 6:30 p.m.    E. Galeev, Moscow
              On the least value of a constant in the
              Bernstein-Nikol'skiî type inequalities
 6:50 p.m.    G. Kalyabin, Samara
              The point-wise multipliers for some Sobolev
              classes containing unbounded functions


                 WEDNESDAY, SEPTEMBER 16
              Chairman: R. Nagel
 9:00 a.m.    G. Da Prato, Pisa
              Some results on Kolmogoroff equations
 10:00 a.m.   D. S. Lubinsky, Johannesbourg
              Bounds for orthogonal polynomials for weights on (-1,1) and (-∞,+∞)
 11:00 a.m.                                   Break
 11:30 a.m.   D. Roux, Milano
              Inverse Fourier transform


22
                      THURSDAY, SEPTEMBER 17
              Chairman: B. Silbermann
9:00 a.m.     E. Saff, Tampa
              Szegö polynomials and frequency analysis
10:00 a.m.    E. Sinestrari, Roma
              Semigroups methods in partial differential equations

                   SECTION A                  SECTION B                 SECTION C
             Chair.: M. R. Occorsio       Chair.: J. Swart         Chair.: S. Prössdorf
3:00 p.m     D. D. Stancu, Cluj-       H. Jarchow, Zürich        S. Akmetov, Kazan
             Napoca                    Self-induced              Spline approximations
             Approximation             compactness in Banach     of integral and
             properties of a general   spaces                    differential equations
             Bernstein-type operator                             solutions
3:40 p.m     M. K. Khan, Kent          P. Terenzi, Milano        M. Frontini, Milano
             On convexity              On the basis problem      Recent results on the
             preserving operators                                regularization of
                                                                 Fourier polynomials
4:00 p.m     J. A. Adell, Zaragoza     J. Castillo, Badajoz      J. Elschner, Berlin
             Using stochastic          Extraction of             The h-p-version of
             processes for repre-      subsequences in           spline approximation
             senting Bernstein-type    Banach spaces and         methods for Mellin
             operators                 applications              convolution equations
4:20 p.m     F. Plo, Zaragoza          M. Gonzalez,              G. Schmidt, Berlin
             The monotone              Santander                 Convergence of
             convergence property      Unconditionally conv-     domain decomposi-tion
             for beta operators        ergent polynomials in     methods for boundary
                                       Banach spaces             integral equations
4:40 p.m                                         Break
5:10 p.m.    F. Altomare, Bari         F. Takeo, Tokyo           M.Capobianco,Napoli
             On some positive          Hausdorff dimension       An algorithm for the
             approximation             of fractals and Perron-   numerical resolution of
             processes and their       Frobenius theory          a class of singular
             associated parabolic                                integral equations
             problems
5:30 p.m.    I. Rasa, Cluj-Napoca      E. Behrendts, Berlin      K. Förster, Hildesheim
             Altomare projections      On the principle of       On exit criteria in
             and Lototsky-Schnabl      local reflexivity         quadrature
             operators
5:50 p.m.    J. de la Cal, Bilbao      R. Becker, Paris          U. Amato, Napoli
             On a new class of         Structure of normal       The modified moment
             Bernstein-type            cones contained in a      problem in presence of
             operators                 Banach space              noise


                                                                                       23
 6:10 p.m.                            M. Lindström, Åbo
                                      Bounding sets with respect to classes of real
                                      analytic functions in Banach spaces
 6:30 p.m.                            P. Biström, Åbo
                                      Cf∞ bounding sets in Banach spaces


                        FRIDAY, SEPTEMBER 18
              Chairman: H. Jarchow
 9:00 a.m.    M. Valdivia, Valencia
              Biorthogonal systems in Banach spaces
 10:00 a.m.   J. B. Prolla, Campinas
              Approximation of continuous convex-cone-valued functions
 11:00 a.m.                                       Break
                           SECTION A                              SECTION B
                  Chairman: H. H. Gonsha                  Chairman: K. B. Laursen
 11:30 a.m.   H. Stahl, Berlin                      W. Zelazko, Warszawa
              Best rational approximation of x  α   Generation of B(X) by two
              on [0,1]                              commutative subalgebras - the results
                                                    and open problems
 11:50 a.m.   A. Kroó, Budapest                     R. Cristescu, Bucharest
              Approximation by bivariate            On integration in ordered vector
              Müntz and incomplete                  spaces and on some linear operators
              polynomials
 12:10 a.m.   S. Rèvèsz, Budapest                   O. Hatori, Tokyo
              On some extremal problems of          Approximation on the fiber and its
              Landau for trigonometric              application to the problem involving
              polynomials                           the symbolic calculus on spaces of
                                                    contin-uous functions
                           SECTION A                              SECTION B
                  Chairman: R. K. Vasiliev                 Chairman: R. Cristescu
 3:00 p.m.    A. Horváth, Budapest                  L. Venter, Potchefstroom
              About Hermite-Fourier                 Roots of stochastic operators
              coefficients
 3:20 p.m.    K. Driver, Johannesbourg              J. J. Grobler, Potchefstroom
              Uniqueness of Hermite-Padé            Spectral properties of positive
              approximants                          elements in a Banach lattice algebra
 3:40 p.m.    A.L.W. von Bachhaus,                  C. Badea, Paris
              Oberursel                             The Gleason-Kahane-Zelazko
              The differential equations of the     theorem and Korovkin systems
              classical orthogonal polynomials
              derived from the Al-
              Salam/Chihara differentiation for-
              mula



24
4:00 p.m.    P. E. Ricci, Roma                   E. Laeng, Milano
             A representation formula of sum     Tangential convergence of temperat-
             rules for zeros of polynomials      ures and harmonic functions in Beson
                                                 and Triebel-Lizorkin spaces
4:20 p.m.    L. Colzani, Milano                  C. Berg, Copenhagen
             Gibbs phenomena for multiple        Rotation invariant measures and
             Fourier integrals                   tensor products
4:40 p.m.                                Break
5:10 p.m.    F. Peherstorfer, Linz               F. H. Szafraniec, Krakow
             Elliptic polynomials orthogonal     Weak bounded vectors and
             on two intervals                    subnormality
5:30 p.m.    K. Kovacs, Budapest                 C. Mustata, Cluj-Napoca
             On the convergence of the           Selections associated with Moshane's
             orthogonal polynomials              extension operator for Lipschitz
                                                 functions
5:50 p.m.    H. P. Blatt, Eichstätt              F. Voicu, Bucharest
             On discrepancy theorems             Fixed point theorems on vector
                                                 metric spaces
6:10 p.m.    T. Erdélyi, Columbus                M. Mbekhta, Lille
             Sharp Bernstein-Szegö in-           Sur les pertubations des opérateurs
             equalities and other extremal       semi-Fredholm
             problems for rational systems
6:30 p.m.                                        P. Aiena, Palermo
                                                 Multipliers and projections on
                                                 semisimple commutative Banach
                                                 algebras


                    SATURDAY, SEPTEMBER 19
             Chairman: P. E. Ricci
9:00 a.m.    S. Prössdorf, Berlin
             Wawelet approximation methods for integral and pseudodifferential
             equations
10:00 a.m.   A. Pinkus, Haifa
             Ridge functions in Approximation Theory




                                                                                    25
     Opening Ceremony of the Maratea Conference FAAT 1992. From the left:
     Michele Campiti, Delfina Roux, Francesco Altomare, Giuseppe Mastroianni,
     Mario Rosario Occorsio and Biancamaria Della Vecchia.




26
     Index of the Proceedings’ Volume




Functional Analysis and Approximation Theory II, Proceedings of
the Second International Conference on Functional Analysis and
Approximation Theory held in Acquafredda di Maratea (Potenza),
September 14-19, 1992, Rend. Circ. Mat. Palermo, Serie II, Suppl.
33, 1993, Voll. I and II, pp. 1-518.


                                                                    27
Preface .......................................................................................................... pag. 5
Program of the Conference ............................................................................. »               9
List of participants .......................................................................................... » 15

Part I - lnvited Lectures

G. Da Prato - Parabolic Equations in lnfinitely Many Variables ................... » 25
M. Diligenti - G. Monegato - Finite-Part lntegrals: Their Occurrence and
       Computation ......................................................................................... » 39
Z. Ditzian - Rate of Approximation, Smoothness and K-Functionals ............. » 63
A. L. Levin - D. S. Lubinsky - Bounds for Orthogonal Polynomials for
       Exponential Weights on (-1,1) and (-∞, ∞) .......................................... » 75
J. B. Prolla - Uniform Approximation of Continuous Convex-Cone-Valued
       Functions .............................................................................................. » 97
D. Roux - On the lnversion of Noisy Fourier Transforms .............................. » 113

Part II - Contributed Papers

J. A. Adell - J. de la Cal - Using Stochastic Processes for Studying
       Bernstein-Type Operators ..................................................................... »              125
J. A. Adell - J. de la Cal - On a Bernstein-Type Operator Associated with the
       Inverse Polya-Eggenberger Distribution .............................................. »                       143
P. Aiena - Multipliers and Projections on Semisimple Commutative Banach
       Algebras ................................................................................................ »   155
U. Amato - M. F. Carfora - Numerical Reconstruction of a Function from its
       Fourier Coefficients .............................................................................. »         167
C. Badea - The Gleason-Kahane-Zelazko Theorem ........................................ »                             177
V. Barbu - A. Favini - Convergence Results for Implicit Differential
       Equations .............................................................................................. »    189
F. Beckhoff - The Adjunction of a Unit and the Minimal Primal Ideal Space »                                          201
C. Berg - U-Approximation with respect to Rotation lnvariant Measures ...... »                                       211
J. Burkett - A. K. Varma - Lacunary Spline lnterpolation .............................. »                            219
M. Campiti - Convexity-Monotone Operators in Korovkin Theory ................ »                                      229
A. O. Chiacchio - J. B. Prolla - M. L. B. Queiroz, - M. S. M. Roversi -
       Monotonically Dominated Operators on Convex Cones ...................... »                                    239



28
G. Chiaselotti - E. De Pascale - G. Marino - Nonlinear Contraction
       Mappings in (o)-E-Metric Spaces ...................................................... pag. 249
C. Cottin - H. H. Gonska - Simultaneous Approximation and Global
       Smoothness Preservation ...................................................................... » 259
G. Criscuolo - B. M. Della Vecchia - Extended Lagrange Interpolation by
       Zeros of Jacobi Polynomials of Second Kind........................................ » 281
R. Cristescu - On Integration in Ordered Vector Spaces and on Some Linear
       Operators .............................................................................................. » 289
M. Finzel - On the Continuity of the Strict Approximation ............................. » 301
K.-J. Forster - A Survey of Stopping Rules in Quadrature Based on Peano
       Kernel Methods ..................................................................................... » 311
  O. Hatori - A Discontinuous Function does not Operate on the Real Part of
       a Real Function Algebra ....................................................................... » 331
  T. Hermann - Rational Interpolation of Periodic Functions ........................ » 337
  G. Kalyabin - The Point-Wise Multipliers in Some Sobolev Spaces
       Containing Unbounded Functions ........................................................ » 345
  M. K. Khan - On Convexity Preserving Operators ...................................... » 351
  J. A. Lopez Molina - M. J. Rivera - Distinguished αpq Tensor Products of
       Fréchet Spaces ...................................................................................... » 363
  G. Mastroianni - J. Szabados - Jackson Order of Approximation by
       Lagrange Interpolation ......................................................................... » 375
G. Mastroianni - P. Vértesi - Approximation by Some Operators Using
Certain New Moduli of Continuity .................................................................. » 387
F. Peherstorfer - Positive and Orthogonal Polynomials on Several Intervals. » 399
S. Pilipović - M. Stojanović - Generalized B-Transform on the Spaces LG'0
and LG'e ............................................................................................... » 415
J. Prestin - Mean Convergence of Derivatives of Extended Lagrange
Interpolation .................................................................................................... » 427
I. Rasa - Altomare Projections and Lototsky-Schnabl Operators ................... » 439
R. Rybowski - Convergence of Iterates of Averages of Group Representation» 453
D. D. Stancu - M. R. Occorsi o - Mean-Value Formulae for Integrals
Obtained by Using Gaussian-Type Quadratures ............................................ » 463
Sin-Ei Takahasi - BKW-Operators on Function Spaces.................................. » 479
R. K Vassiliev - On an Exact Order of Approximation of the Differentiable
Functions by a Sequence of Operators of Class S2m ............................................................. » 489
V. Vespri - Neumann Problem in Non-Smooth Domains ................................ » 509



                                                                                                                    29
30
                                                    Third Edition

               3rd International Conference on
Functional Analysis and Approximation Theory
       September 23-28, 1996, Acquafredda di Maratea (PZ), Italy




Organizing Committee: Francesco Altomare, Michele Campiti, Giuliana
Criscuolo, Biancamaria Della Vecchia, Giuseppe Mastroianni



                                                                      31
                      Program of the Conference
                          MONDAY, SEPTEMBER 23
9:00 a.m.                                    Opening Ceremony
             Chairman: D. Roux
9:30 a.m.  P. Butzer, Aachen
           Mellin transforms, Mellin-Fourier series, and the functional equation of the
           Riemann zeta function
10:30 a.m. V. Totik, Szeged
           Weighted polynomial inequalities with doubling and A∞ weights
11:30 a.m.                                      Break
12:00 a.m. W. Schempp, Siegen
           Wavelets and their applications to Image processing
                   Section A                  Section B                  Section C
            Chairman: M. Voicu      Chairman: V. Totik                 Chairman: D. Stancu
 3:00 p.m. G. Emmanuele, Catania B. Osilenker, Moscow                 H. Gonska, Duisburg
             Complementability of         Analog of trace formula for On the degree of
             spaces of Bochner            orthogonal polynomials      approximation in C(X)
             integrable functions in      with asymptotically N-
             spaces of vector measures    periodic recurrence
                                          coefficients
 3:20 p.m. J. Fourie, Potchefstroom M. Alfaro, Zaragoza               H. Knoop, Duisburg
             On dual spaces of spaces of Estimates for Sobolev type Approximation by
             operators                   orthogonal polynomials     convolution operators
 3:40 p.m. A. Galbis Verdù,               R. Alvarez-Nodarse,         I. Gavrea, Cluj-Napoca
           Valencia                       Madrid                      Discretely defined positive
             Convergence of Taylor        WKB-approximation and       linear operators satisfying
             series in Banach spaces of   Krall-type orthogonal       DeVore-Gopengauz
             entire functions             polynomials                 inequalities
 4:00 p.m. E. Malkowsky, Giessen A. Bachhaus, Maryland D. Kacso, Duisburg
             BK spaces, bases and linear Conditions for orthogonality On linear operators with
             operators                   and applications             equidistant nodes: negative
                                                                      results
 4:20 p.m.                                A. Cachafeiro, Vigo         A. Dzhafarov, Baku
                                          Orthogonal polynomials         Addendum to A. F. Timan's
                                          related to the unit circle and theorem
                                          differential-difference eqs.
 4:40 p.m.                                         Break
                    Section A                    Section B                    Section C
            Chair.: M. Neumann Chairman: G. Kalyabin Chairman: D. Leviatan
 5:00 p.m. S. Prus, Lublin     F. Peherstorfer, Linz S. Ehrich, Hildesheim
             Banach spaces which are Orthogonal polynomials and Error bounds for linear
             dual to k-uniformly convex Toda lattices           approximations on the real
             spaces                                             line


32
5:20 p.m. O. Rivera, Valencia            A. Kuijlaars, Heverlee         A. Attalienti, Bari
           On vector valued measure      (Leuven)                       A new sequence of positive
           spaces of Phi-bounded         Zeros and critical points of   linear operators
           variation containing copies   Sobolev orthogonal
                ∞
           of L                          polynomials
5:40 p.m. A. Wisnicki, Lublin            D. Calvetti, Hoboken           I. Carbone, Cosenza
           On a generalization of the Orthogonal polynomials and On a new sequence of
           Lifschitz constant         matrix computations        positive linear operators on
                                                                 unbounded intervals
6:00 p.m. R. Espinola, Sevilla           M. Pinar Gonzales,             A. Simoncelli, Napoli
                                         Granada
           A Characterizing property     Orthogonal polynomials       Bezier curves via fractal
           of the C(K) and C0(K)         associated to a non diagonal algorithm
           spaces via their Chebyshev    Sobolev inner product with
           elements                      polynomials coefficients
6:20 p.m. D. Wojtowicz, Poznan M. Skrzipek, Hagen                       M. Gualtieri, Cosenza
           On some applications of       Generation of weight           Linear combinations of a
           Kuratowski measure of         functions for orthogonal       class of exponential type
           noncompactness to             polynomials                    operators
           differential equations in
           Banach spaces
6:40 p.m. G. Rao, Madras                                                C. Sangüesa, Zaragoza
           Bases, approximation and                                     On the uniform convergence
           c0-approximation in                                          for a gamma-type operator
           Banach spaces                                                connected with Laplace
                                                                        transform


                        TUESDAY, SEPTEMBER 24
           Chairman: Y. Brudnyi
 9:00 a.m. G. Monegato, Torino
           Approximation of non smooth solutions of one-dimensional integral equations
10:00 a.m. H. Jarchow, Zürich
           Compactness properties of composition operators
11:00 a.m.                                   Break
                  Section A               Section B                 Section C
            Chairman: A. Brown             Chairman: J. Szabados Chairman: W. Schempp
11:30 a.m. G. Magaril-Il'yaev,            P. Vertesi, Budapest   D. Stancu, Cluj-Napoca
           Moscow
           Average rank of operator  On the Lebesgue functions          Representations of
           and average approximation of the weighted Lagrange           remainders in some
           numbers                   interpolation                      polynomial approximation
                                                                        formulas
11:50 a.m. L. Labsker, Moscow             S. Révész, Budapest           L. Bos, Calgary
           Test closures of sets in Ban- Multivariate Bernstein         Asymptotics of multivariate
           ach spaces, generated by      inequalities for convex        Christoffel functions
           non-expanding functionals bodies


                                                                                                    33
12:10 a.m. M. Lacruz, Sevilla              M. Russo, Potenza            I. Rasa, Cluj-Napoca
            Norm of polynomials and        Marcinkiewicz inequalities Bernstein-Schnabl operators
            capacity on Banach spaces      and Lagrange interpolation and Lipschitz constants
                                           in Besov spaces
                 Section A             Section B               Section C
           Chairman: W. Zelazko Chairman: B. Osilenker    Chairman: I. Rasa
3:00 p.m. G. Lewicki, Kraków    G. Kalyabin, Samara    Z. Ditzian, Edmonton
            Isotonicity of the metric      The bilateral least norm    Averages related to the
            projection operator            estimates of the extension Laplacian and the Laplace-
                                           operators from convex plane Beltrami operator
                                           domains for Sobolev classes
                                           W21
3:20 p.m. C. Pestano Gabino, La            F. Bastin, Liège             D. Leviatan, Tel-Aviv
          Laguna                           Orthogonal basis of        Shape preserving
            Rationality, minimum           compactly supported        approximation by free-knot
            degrees and uniqueness of      wavelets in Sobolev spaces splines
            representation of matrix
            formal power series
3:40 p.m. V. Postolica, Piatra             N. Popa, Bucharest           C. Impens, Gent
          Neamt                            Fefferman-Stein inequalities Nonlinear properties of
            Best approximation in H-       -extension and some          Bernstein polynomials,
            locally convex spaces          applications                 applied to Schwartz'
                                                                        impossibility result
4:00 p.m. S. Marano, Catania                                            C. Rohwer, Stellenbosch
            Elliptic eigenvalue                                         Fast One-sided Quadratic
            problems with highly                                        Spline Approximation
            discontinuous nonlinearities
4:20 p.m. W. Bianchini, Rio de                                          I. Stephani, Jena
          Janeiro                                                       A Jackson type inequality
            An extension of Mairh-                                      for C(X)-valued operators
            uber's theorem for subsp-
            aces of C0(X) with unique
            continuous selections
4:40 p.m.                                           Break
                   Section A                      Section B                    Section C
             Chairman: J. Prolla              Chairman: H. Stahl         Chairman: H. Gonska
 5:00 p.m. A. Montes Rodriguez,            T. Erdélyi, Columbus         A. Pérez-Palomares,
           Sevilla                         Littlewood-type problems     Zaragoza
            Manifolds of hyperciclic       on polynomials with -1, 0, 1 Best costants in preserv-
            vectors                        coefficients                 ation inequalities concern-
                                                                        ing the first modulus and
                                                                        Lipschitz classes for
                                                                        Bernstein-type operators
 5:20 p.m. A. Peris, Valencia              U. Schmid, Mohringen         R. Paltanea, Brasow
            Extension of operators in      On the approximation of     On the degree of
            Fréchet spaces                 positive functions by power approximation by
                                           series                      Bernstein-type operators




34
5:40 p.m. A. Plicko, Kirovograd          V. Korovkina, Kaluga       A. Frioui, Guelma
           On automatic continuity of Approximation of real         Sur une constructions des
           polynomial operators in    functions, calculus,          opérateurs lineaires
           Banach spaces              asymptotic estimates          polynomiaux de classe S2
6:00 p.m. M. Zima, Rzeszow               E. Galeev, Moscow          S. Vakarchuk,
           On the spectral radius of the An estimate of widths of   Dnepropetrovsk
           sum of operators              functional classes         Analytic splines and some
                                                                    extremal problems of the
                                                                    approximation theory in the
                                                                    complex plane
6:20 p.m. S. Romanelli, Bari             K. Osipenko, Moscow        V. Maiorov, Haifa
           Regularity results for        On exact values of n-widths On best approximation by
           special classes of operator   for classes defined by      Ridge functions
           semigroups                    nonlinear cyclic variation
                                         diminishing operators
6:40 p.m. K. Seddighi, Shiraz            L. De Michele, Milano
           Finite codimensional       The Gibbs phenomenon for
           subspaces of Banach spaces L1loc kernels
           of analytic functions

                     WEDNESDAY, SEPTEMBER 25
           Chairman: R. Nagel
 9:00 a.m. K. Taira, Hiroshima
           Feller semigroups with boundary conditions
10:00 a.m. A. Favini, Bologna
           Degenerate parabolic equations and semigroups
11:00 a.m.                                    Break

                      THURSDAY, SEPTEMBER 26
           Chairman: P. Nevai
 9:00 a.m. V. Kaliaguine, Novgorod
           Complex rational approximation and spectral analysis of non symmetric
           difference operators
10:00 a.m. G. Schechtman, Rehovot
           The uniform and Lipschitz classifications of Banach spaces
11:00 a.m.                                     Break
                   Section A                 Section B                Section C
            Chairman: E. Scheffold Chairman: Z. Ditzian Chair.: G. Milovanovic
11:30 a.m. J. Diaz Alcaide, Córdoba Y. Brudnyi, Haifa          W. Van Assche, Leuven
           Polynomials on stable         Polynomial approximation   Orthogonal polynomials
           spaces                        of functions of infinite   with non-symmetric
                                         many variables             exponential weights
11:50 a.m. J. Grobler, Potchefstroom J. Prolla, Campinas            F. Szafraniec, Krakow
           Principal T-bands in Banach Extension of a theorem of    A truncation approach to the
           lattices                    Ky Fan                       complex moment problem


                                                                                                35
12:10 a.m. M. Danet Rodica,              L. Narici, New York           A. Duran, Sevilla
           Bucharest
             Linear operators on ordered The separating map            Orthogonal matrix
             spaces of vector sequences                                polynomials
                 Section A             Section B                              Section C
           Chair.: G. Emmanuele  Chairman: K. Driver                    Chairman: P. Vertesi
 3:00 p.m. W. Zelazko, Warszawa C. Berg, Copenhagen                    G. Milovanovic, Nis
             On strongly closed          Matrix moment problems        Construction of Chakalov-
             subalgebras of B(X)         and operator theory           Popoviciu's type quadrature
                                                                       formulae
 3:20 p.m. M. Neumann,                   A. da Silva, Rio de           K. Förster, Hildesheim
           Mississippi                   Janeiro
             Banach algebras and local   A Stone-Weierstrass           On estimates for linear
             spectral theory             theorem for certain           functionals via Peano kernel
                                         discontinuous functions       theory
 3:40 p.m. H. Render, Duisburg           G. Paltineanu,                K. Petras, Braunschweig
                                         Bucharest
             Multipliers on Hadamard     The generalization of        Some remarks on positive
             algebras                    Bishop's theorem for locally quadrature formulas
                                         convex AM-lattices
 4:00 p.m. G. Schlüchtermann,            A. Horváth, Budapest          S. Waldron, Haifa
           München
             On non commutative          Interpolation on p-normal     Refinements of the Peano
             vector-valued integration   point systems                 kernel theorem
 4:20 p.m. C. Trapani, Palermo           D. Ivan, Cluj-Napoca          M. Vianello, Padova
             Banach modules over C*-     An operator method in         A vector-valued version of
             algebras as Partial *-      linear difference equations   Peano's Kernel Theorem
             algebras
 4:40 p.m.                                          Break

                   Section A                 Section B             Section C
              Chairman: P. Terenzi     Chair.: C. H. Rohwer Chair.: W. Van Assche
 5:00 p.m. I. Cioranescu, Puerto Rico H. Stahl, Berlin      G. Criscuolo, Napoli
           Riesz-Fisher type results for The Padé conjecture and       On the numerical evaluation
           Sobolev-Besicovitch almost rational approximation of        of certain Hadamard finite-
           periodic functions            hyperelliptic functions       part integrals
 5:20 p.m. W. Wnuk, Poznan               K. Driver, Witwatersrand      M. Fiedler, Praha
           Order continuity of the       Approximation of multiple     Approximation by
           norm in Banach lattices       hypergeometric functions      interpolating Bézier curves
 5:40 p.m. A. Paolucci, Leeds            G. Rodriguez, Cagliari        D. Funaro, Modena
             New examples of Hopf type LDMT-factorization of           A way of choosing the
             Boson algebras and        block-tridiagonal Toeplitz      nodes in the collocation
             generalized harmonic      matrices                        method
             oscillator
 6:00 p.m. F. Voicu, Bucharest           I. Horova, Brno               I. De Feis, Napoli
             Fixed points on ordered     Multivariate kernel           Retrieving a function from
             vector spaces               regression                    Hermite-Fourier coefficients
                                                                       affected by noise



36
6:20 p.m. L. Pavel, Bucharest          V. Babenko,Dnepropetrovsk K. Kwon, Taejon
           Stationary hypergroups and Exact inequalities of          Convergence of quadrature
           amenability                Kolmogorov type for            formulas for variable-signed
                                      multivariate functions         weight functions
6:40 p.m. A. Carbone, Cosenza                                        L. Reichel, Kent
           The generalized order                                     Gram polynomials and the
           complementarity problem:                                  Kummer function
           applications to economics
           and an existence result


                         FRIDAY, SEPTEMBER 27
           Chairman: B. Silbermann
 9:00 a.m. P. Nevai, Columbus
           Orthogonal polynomials on an arc of the unit circle
10:00 a.m. S. Prössdorf, Berlin
           Boundary element methods with non-smooth splines
11:00 a.m.                                    Break
                  Section A                Section B                   Section C
             Chair.: I. Cioranescu Chair.: F. Peherstorfer Chairman: S. Prössdorf
11:30 a.m. A. Brown, Newcastle     R. Steinbauer, Linz         B. Silbermann, Chemnitz
           The calculus of operator    Extremal polynomials on       C*-algebra techniques in
           functions                   Julia sets                    Numerical analysis
11:50 a.m. E. Scheffold, Darmstadt D. Occorsio, Potenza              D. Bugajewski, Poznan
           Symmetric operators on      Product rules on the zeros of On applications of some
           Banach lattices and Avens   Laguerre polynomials          theorems of functional
           regularity                                                analysis to differential and
                                                                     integral equations
12:10 a.m. G. Vinti, Perugia           C. D'Antoni, Roma             S. Lapin, Kaluga
           On the ergodic theorem in   Methods of Functional         Optimization of projective
           some spaces of random       Analysis in problems of       methods for the Fredholm
           variables                   analytic extension            integral eqs of the 2nd kind
                 Section A                    Section B              Section C
           Chairman:J. Grobler          Chair.: V. Kaliaguine Chair.: G. Mastroianni
3:00 p.m. V. Vespri, L'Aquila          D. Yost, Lyon          P. Junghanns, Chemnitz
           Generation of analytic      A modulus for everything in   A new approach to
           semigroups by Hörmander     Banach spaces (an             polynomial approximation
           operators                   application of Lipschitz      methods for Cauchy
                                       multifunctions)               singular integral equations
3:20 p.m. G. Metafune, Lecce           L. Zsido, Roma                U. Amato, Napoli
           Degenerate differential     Some explicitly solvable    Fully adaptive wavelet
           operators and analytic      minimal extrapolation prob- regularization for smoothing
           semigroups                  lems for Fourier transform data
3:40 p.m. K. Engel, Tübingen           C. Bardaro, Perugia           M. Capobianco, Napoli
           Positivity and stability for A general approach to the    A numerical method for a
           one-sided coupled operator convergence theorems of        class of Volterra integral
           matrices                     generalid sampling series    equations with logarithmic
                                                                     perturbation kernel


                                                                                                37
 4:00 p.m. A. Gessinger, Aachen          R. Becker, Paris VI         L. Scuderi, Torino
            Connections between the      A new tool in the theory of High order collocation
            approximation and ergodic    integral representation     methods for one-dimen-
            behaviour of cosine                                      sional integral equations
            operators and semigroups                                 with non smooth solutions
 4:20 p.m. A. Alimov, Moscow             A. Albanese, Lecce          E. Venturino, Catania
            Chebyshev set's              The density condition in   Using generalized inverses
            complement                   quotients of quasinormable in solving singular integral
                                         Fréchet spaces             equations

                 Section A                      Section B
            Chairman: L. Zsido              Chairman: V. Ptak
 5:00 p.m. M. Voicu, Bucharest           S. Dierolf, Trier
            Dissipative and accretive   Some remarks on Baire-like
            operators on locally convex spaces
            spaces
 5:20 p.m. S. Shimizu, Hamamatsu M. Simoes, Roma
            Eigenfunctions expansions About c0-saturated Banach
            for elastic wave propagation spaces
            problems in stratified media
 5:40 p.m. C. Fernández Rosell,          J. Castillo, Badajoz
           Valencia
            Operators of solutions for   Commutators and twisted
            convolution equations        sums on Banach spaces
 6:00 p.m. O. Polyakov,                  P. Rueda, Valencia
           Dnepropetrovsk
            On uniqueness of the best    Biduality in spaces of
            approximants in L1-type      holomorphic functions
            approximation of vector-
            valued functions


                       SATURDAY, SEPTEMBER 28
            Chairman: P. Butzer
 9:00 a.m. J. Szabados, Budapest
           Recent results on interpolation of functions
10:00 a.m. S. Shaw, Chung-li
           Abstract Ergodic Theorems




38
Participants in the Maratea Conference FAAT 1996 during a coffee break.




                                                                          39
40
     Index of the Proceedings’ Volume




Functional Analysis and Approximation Theory III, Proceedings of
the 3rd International Conference on Functional Analysis and
Approximation Theory held in Acquafredda di Maratea (Potenza),
September 23-28, 1996, Suppl. Rend. Circ. Mat. Palermo, n. 52
(1998), Voll. I and II, pp.1-820.


                                                                   41
                                                   VOLUME I

Preface .......................................................................................................... pag. IX
Programme of the Conference......................................................................... » XI
List of participants .......................................................................................... » XXI

PART I – INVITED LECTURES

Aptekarev A. - Kaliaguine V. - Complex rational approximation and
      difference operators .............................................................................. »             3
Barbu V. - Favini A. - The analytic semigroup generated by a second order
      degenerate differential operator in C[0,l] ............................................ »                       23
Baur F. - Jarchow H. - On the trace dual of Gaussian summing operators .... »                                         43
Butzer P. L. - Jansche S. - The finite Mellin transform, Mellin-Fourier series,
      and the Mellin-Poisson summation formula ......................................... »                            55
Mastroianni G. - Totik V. - Jackson type inequalities for doubling and Ap
      weights .................................................................................................. »    83
Monegato G. - Scuderi L. - Approximation of non smooth solutions of linear
      integral equations on bounded intervals ............................................... »                      101
Schempp W. - Wavelet modelling of high resolution radar imaging and
      clinical magnetic resonance tomography ............................................. »                         125
Shaw S.-Y. - Abstract ergodic theorems ......................................................... »                   141
Taira K. - Feller semigroups with boundary conditions ................................. »                            157

PART II – CONTRIBUTED PAPERS

Al-Jarrah A. M. - Malkowsky E. - BK spaces, bases and linear operators .... »                                        177
Amato U. - De Feis I. - Retrieving a function from Hermite-Fourier
      coefficients affected by noise ................................................................. »             193
Amato U. - Occorsio M. R. - Vuza D. T. - Fully adaptive wavelet
      regularization for smoothing data ........................................................ »                   207
Babenko V. F. - Kofanov V. A. - Pichugov S. A. - Inequalities of
      Kolmogorov type and some their applications in approximation theory»                                           223




42
Bastin F. - Laubin P. - A walk in the theory of wavelets from L2(R) to Hs(R) »                                         239
Berscheid N. - Dierolf S. - Quasicomplete Baire-like spaces need not be
      Baire ...................................................................................................... »   253
Bianchini W. - An extension of Mairhuber's theorem for subspaces of C0(X)
      with a unique continuous selection ....................................................... »                     265
Bos L. - Della Vecchia B. - Mastroianni G. - On the asymptotics of
      Christoffel functions for centrally symmetric weight functions on the
      ball in Rd ............................................................................................... »     277
Capobianco M. R. - Formica M. R. - A numerical method for a class of
      Volterra integral equations with logarithm perturbation kernel .......... »                                      291
Carbone I. - Approximation properties of some sequences of positive linear
      operators on weighted function spaces ................................................ »                         305
Cioranescu I. - Riesz-Fisher type results for Besicovitch almost periodic
      functions ............................................................................................... »      337
Costabile F. - Gualtieri M. I. - Serra S. - An extrapolation technique for
      general exponential type operators ....................................................... »                     345
Criscuolo G. - On the numerical evaluation of certain Hadamard finite-part
      integrals................................................................................................. »     357
D'Antoni C. - Zsidó L. - Methods of functional analysis in problems of
      analytic extension .................................................................................. »          373
Ehrich S. - On localised error bounds for orthogonal approximation from
      shift invariant spaces............................................................................. »            393




                                                                                                                        43
                                                  VOLUME II

Preface .......................................................................................................... pag. IX
Programme of the Conference......................................................................... » XI
List of participants .......................................................................................... » XXI

CONTRIBUTED PAPERS

Foulquié Moreno A. - Marcellăn F. - Peherstorfer F. – Steinbauer R. - Strong
      asymptotics on the support of the measure of orthogonality for
      polynomials orthogonal with respect to a discrete Sobolev inner
      product on the unit circle ...................................................................... »           411
Frioui A. - Vassiliev R. K. - Construction des operateurs lineaires
      polynomiaux de classe S2 ..................................................................... »              427
Gavrea I. - Gonska H. H. - Kacso D. P. - On linear operators with
      equidistant nodes: negative results ....................................................... »                 445
Gavrea I. - Gonska H. H. - Kacso D. P. - On discretely defined positive
      linear polynomial operators giving optimal degrees of approximation »                                         455
Gessinger A. - Connections between the approximation and ergodic
      behaviour of cosine operators and semigroups .................................... »                           475
Gianazza U. - Vespri V. - Analysis on the Heisenberg group: a survey ......... »                                    491
Grobler J. J. - Positive solutions of linear equations ....................................... »                    513
Heckers E. - Knoop H.-B. - Zhou X. - Approximation by convolution
      operators ............................................................................................... »   523
Ivan D. M. - An operator method in difference equations .............................. »                            537
Junghanns P. - Luther U. - Uniform convergence of the quadrature method
      for Cauchy singular integral equations with weakly singular
      perturbation kernels .............................................................................. »         551
Kocić Lj. M. - Simoncelli A. C. - Bézier curves via fractal algorithm ........... »                                 567
Kuijlaars A. B. J. - Van Assche W. - A contact problem in elasticity related
      to weighted polynomials on the real line .............................................. » 575
Mangino E. M. - Some remarks on semigroup theory in locally convex
      spaces .................................................................................................... » 589



44
Mastronardi N. - Occorsio D. - Product integration rules on the semiaxis .... »                                      605
Milovanović G.:V - Rancić S. Lj. - Some improvements in calculation of the
       natural log of a square matrix .............................................................. »               619
Milovanović G. V. - Spalević M.M. - Construction of Chakalov-Popoviciu's
       type quadrature formulae ..................................................................... »              625
Narici L. - Beckenstein E. - The separating map: a survey ........................... »                              637
Neumann M. M. - Banach algebras and local spectral theory ...................... »                                   649
Păltănea R. - On an optimal constant in approximation by Bernstein
       operators ............................................................................................... »   663
Paltineanu G. - Vuza D. T. - A generalisation of the Bishop approximation
       theorem for locally convex lattices of (AM)-type ................................. »                          687
Pavel L. - Stationary hypergroups and amenability ........................................ »                         695
Petras K. - Quadrature error estimates involving moduli oj continuity of
       derivatives ............................................................................................. »   707
Postolica V. - Best approximation in H-locally convex spaces ....................... »                               723
Prolla J. B. - Chiacchio A. O. - Roversi M. S. M. - Extensions of a theorem
       of Ky Fan ............................................................................................... »   735
Rasa I. - Vladislav T. - Altomare projections and Lipschitz constants .......... »                                   749
Rohwer C. H. - One-sided quadratic spline approximation............................ »                                757
Schlüchtermann G. - Schwingenschlögl F. - On noncommutative vector-
       valued integration ................................................................................. »        765
Stancu D. D. - Representation of remainders in approximation formulae by
       some discrete type linear positive operators ........................................ »                       781
Stephani I. - Embedding maps oj generalized Hölder spaces - entropy and
       approximation ....................................................................................... »       793
Voicu M. - Dissipative and accretive operators on locally convex spaces .... »                                       805
Wisnicki A. - Wosko J. - On a generalization of the Lifschitz constant ........ »                                    817




                                                                                                                      45
46
                                                Fourth Edition

               4th International Conference on
Functional Analysis and Approximation Theory
                        September 22-28, 2000




Organizing Committee: Francesco Altomare, Antonio Attalienti, Michele
Campiti, Giuliana Criscuolo, Biancamaria Della Vecchia, Giuseppe
Mastroianni, Mario Rosario Occorsio


                                                                   47
                    Program of the Conference

                        FRIDAY, SEPTEMBER 22
 9:00 a.m.                                 Opening Ceremony
                                        Chairman: Heinz König
 9:30 a.m.    Carlo Franchetti, Firenze
               The Jung and the Self-Jung constant
 10:30 a.m.   Doron Shaul Lubinsky, Witwatersrand
               Padé Pitfalls and orthogonal obstacles
 11:30 a.m.                                       Break
 12:00 a.m.   Michael M. Neumann, Mississippi
               Recent developments in local spectral theory
                            SECTION A                              SECTION B
                     Chairman: Ioan Rasa                 Chairman: Andreas Rathsfeld
 3:00 p.m.    Romulus Cristescu, Bucharest            Detlef-Hauke Mache, München
               Linear operators and vector             Generalized method using integral
              integrals in spaces with vector norm transforms and convolution
                                                      structures with Jacobi polynomials
 3:35 p.m.    Richard Becker, Paris VI                Paolo Emilio Ricci, Roma
               On ordered Banach spaces                Orthogonal invariants and the Bell
                                                      polynomials
 3:55 p.m.    Ronald Beattie, Mount Allison           Franz Jürgen Delvos, Siegen
               When the continuous dual of a           Mean square approximation in
              subspace is a quotient                  multivariate periodic Hilbert spaces
 4:15 p.m.    Maria Girardi, Karlsruhe                Stanislaw Lewanowicz, Wroclaw
               Dual Banach spaces which contain Representation for the parameter
              an isometric copy of L1                 derivatives of the classical
                                                      orthogonal polynomials
 4:35 p.m.    Donatella Bongiorno, Palermo            Hopolang Phillip Mashele,
               Rademaker and Stepanoff                Witwatersrand
              theorems in separable Frechét            (C,1)-means of orthogonal
              spaces                                  expansion for exponential weights
 4:50 p.m.                                        Break
                            SECTION A                              SECTION B
                    Chairman: Pietro Aiena                  Chairman: Peter Vertesi
 5:10 p.m.    Jan Fourie, Potchefstroom               Donato Trigiante, Firenze
               Spaces of p-summing multipliers:        Pascal matrix and classical
              characterizations, applications and     polynomials
              scaling

48
5:30 p.m.    Józef Myjak, L’Aquila                Mario Götz, Orsam-Cedex
             Semifractals and semiattractors of    Gaussian versus Optimal
             multifunctions                       Integration and Zeros of Orthogonal
                                                  Polynomials with Varying Weights
5:50 p.m.    Manuel Gonzalez, Cantabria           Biancamaria Della Vecchia, Roma
              The Dunford-Pettis property on       Uniform convergence of Hermite-
             tensor products of Banach spaces     Féjer interpolation based on
                                                  generalized Jacobi weights
6:10 p.m.    Samarah Salti, Jordan                Marcia Kashimoto, EFEI, Brazil
             Atomic decomposition of               Approximation of continuous
             modulation spaces                    functions by convolution
6:30 p.m.    Alhami Kifah, Jordan                 Frank Filbir, Neuherberg
             Cyclic vectors / Example on a         Growth conditions for orthogonal
             Cantor set                           polynomials and the existence of
                                                  approximate identities in certain
                                                  Banach algebras



                    SATURDAY, SEPTEMBER 23
                                   Chairman: George Maltese

9:00 a.m.    Gilles Godefroy, Paris
             Non-reflexive versions of the Enflo-Pisier renorming theorem
10:00 a.m.   Lutz Weis, Karlsruhe
             Banach space methods for regularity problems of evolution equations
11:00 a.m.                                     Break

                       SECTION A                             SECTION B
               Chairman: Romulus Cristescu        Chair.: Gradimir V. Milovanovic
11:30 a.m.   D. Dimitrie Stancu, Cluj-Napoca      Sven Ehrich, Neuherberg
              New approximation properties of a   Gauss-Laguerre and Gauss-
             class of binomial operators          Hermite quadrature formulas

12:05 a.m.   Octavian Agratini, Cluj-Napoca       Dirk Laurie, Potchefstroom
              A study upon some new operators      Gauss-Jacobi-Kronrod quadrature
             of discrete type                     formulas
12:25 a.m.   Ulrich Abel, Friedberg               Donatella Occorsio, Potenza
              A variant of the Bleimann, Butzer    Integration rules on the real
             and Hahn operators                   semiaxis



                                                                                     49
                          SECTION A                              SECTION B
                  Chairman: Sen-Yen Shaw               Chairman: Christian Berg
 3:00 p.m.   Heinz H. Gonska, Duisburg              Walter Schempp, Siegen
             On the constants in ω2ϕ-inequalities   Gravitational wavelets
 3:35 p.m.   Ioan Gavrea, Cluj-Napoca               Mihail Voicu, Bucharest
              Estimates for positive linear         Projective limits of operators
             operators in terms of the second
             order Ditzian-Totik modulus of
             smoothness
 3:55 p.m.   Jose Antonio Adell, Zaragoza          Umberto Amato, Napoli
              On linear operators preserving        Approximating a function by
             bounded variation                     wawelets from noised samples
                                                   processing
 4:15 p.m.   Javier Cárcamo, Bilbao                Sandra Saliani, Potenza
              A certain best constant for           Wawelet packets and transfer
             Bernstein polynomials                 operator
 4:35 p.m.   Rachida Amiar, Annaba                 Stefano Serra Capizzano, Firenze
              Asymptotic formulae for positive      Korovkin test functions, matrix
             operators                             sequences and approximation
 4:50 p.m.                                     Break
                          SECTION A                              SECTION B
              Chairman: Detlef-Hauke Mache              Chairman: Jacek Gilewicz
 5:10 p.m.   Radu Paltanea, Brasow                 Vasile Postolica, Piatra Neamt
              Estimates with second order           On the best approximation of set
             moduli                                functions
 5:30 p.m.   Daniela Patricia Kacso, Duisburg      Carl H. Rohwer, Stellenbosch
              On the degree of simultaneous         A Lebesgue-type inequality for
             approximation by almost convex        approximation with locally
             operators                             monotone sequences
 5:50 p.m.   Antonio Jesús López Moreno,           Gavril Paltineanu, Bucharest
             Jaén                                   A generalization of a Bernard’s
              Asymptotic expression of             theorem concerning the charact-
             derivatives of Bernstein type         erization of frontal set with respect
             operators                             to a closed vector subspace of C(X)
 6:10 p.m.   Grzegorz Nowak, Poland                Elfat Galeev, Moscow
              Approximation properties of the       The embedding of the intersections
             Favard-Kantorovich operators          of infinite dimensional spaces
 6:30 p.m.   Jose M. Almira, Jaén                  Konstantin Osipenko, Moscow
              Some remarks on negative results      Optimal Recovery of Analytic
             in approximation theory               Functions from Hardy-Sobolev
                                                   Spaces



50
                    MONDAY, SEPTEMBER 25
                                   Chairman: D. Dimitrie Stancu
9:00 a.m.    Giovanni Monegato, Torino
              Weighted Sobolev-type spaces and numerical methods for 1D integral
             equations
10:00 a.m.   Ioan Rasa, Cluj-Napoca
              Feller semigroups, elliptic operators and Altomare projections
11:00 a.m.                                      Break
                         SECTION A                                SECTION B
               Chairman: Bernd Silbermann               Chairman: Vincenzo Vespri
11:30 a.m.   Peter Junghanns, Chemnitz               Sen-Yen Shaw, Chung-li
              A collocation method for CSIE’s         Convergence rates of regularized
                                                     approximation processes
12:05 a.m.   Andreas Rathsfeld, Chemnitz             Gabriella Di Blasio, Roma
              Quadrature for wawelet Galerkin         Extrapolation methods for
             methods                                 retarded differential equations of
                                                     parabolic type
                         SECTION A                                SECTION B
                Chairman: Peter Junghanns               Chairman: Philippe Clément
3:00 p.m.    Concetta Laurita, Napoli                Antonio Attalienti, Bari
              Numerical methods for Fredholm          Degenerate evolution problems
             integral equations of the second        and Beta-type operators
             kind and related condition
             numbers
3:20 p.m.    Raffaella Giova, Napoli                 Senjo Shimizu, Hamamatsu
              Numerical analysis of singular          On Lp and Schauder estimate of
             integral equations with oscillatory     solutions to elastostatic interface
             solutions                               problems
3:40 p.m.    Amina Volpe, Napoli Numerical           Ursula Westphal, Hannover
             treatment of singular integral           Fractional powers of infinitesimal
             equations of the second kind with       generators of groups of operators
             weakly singular perturbation
             kernel
4:00 p.m.    Woula Themistoclakis, Potenza           Serguei Piskarev, Moscow
              Generalized airfoil equation in         Tauberian theorems for
             Zygmund-Holder spaces                   semigroups
4:20 p.m.    Uwe Luther, Chemnitz                    Elisabetta Mangino, Lecce
              A generalized representation            Second order degenerate
             theorem                                 differential operators on
                                                     unbounded intervals
4:40 p.m.                                       Break

                                                                                       51
                       TUESDAY, SEPTEMBER 26
                                      Chairman: József Szabados
 9:00 a.m.    Vilmos Totik, Szeged
               Markov inequalities
 10:00 a.m.   Tamás Erdélyi, College Station
               The phase problem: the resolution of some conjectures of Saffari on
              ultraflat unimodular polynomials
                            SECTION A                             SECTION B
                   Chairman: Hubert Berens             Chairman: Giovanni Monegato
 11:30 a.m.   Heinz König, Saarbruecken              András Kroó, Budapest
               On the Fundamentals of Measure         Extremal properties of multivariate
              and Integration                        polynomials
 12:05 a.m.   Jacobus J. Grobler, Potchefstroom Jacek Gilewicz, Marseille
               Operators defined by probabilistic     Optimal inequalities between the
              expectations                           contiguous two-point Padé approx-
                                                     imant errors in the Stieltjes case
 12:25 a.m.   Kirsti Mattila, Stockholm              Radoslawa Pempera, Zielona Gora
               Ranges and restrictions of             On the pointwise summability of
              operators                              Fourier series by the Cesaro and
                                                     Abel-Poisson means
                            SECTION A                             SECTION B
                Chairman: Jacobus J. Grobler           Chairman: Irmtraud Stephani
 3:00 p.m.    Christian Berg, Copenhagen             Szilàrd Révész, Budapest
               Pick functions related to the          Uniqueness of Markov-extremal
              gamma function                         polynomials on symmetric convex
                                                     bodies
 3:35 p.m.    Len Miller, Mississippi                Henrik L. Pedersen, Copenhagen
               Local spectral theory and             Approximation by polynomials
              averaging operators                    over discrete subsets of the real line
 3:55 p.m.    Eberhard Malkowsky, Nis                Mehrdad Simkani, Flint
               Linear operators between matrix       Propagation of convergence
              domains
 4:15 p.m.    Massimo Lanza De Cristoforis,          Anton L. V., von Bachhaus,
              Padova                                 Steinalben
               A result of holomorphic               Orthogonal polynomial sequences
              dependence for the eigenfunctions      having the structure formula Y’n(x)
              of a composition operator              =F(x) Yn(x)+ Yn-1(x)/gn-1(x)
 4:35 p.m.    Mohammad Kazim Khan, Kent              David Giyani Kubayi, Witwatersrand
               Approximation at discontinuity        Bounds for weighted Lebesgue
                                                     functions for exponential weights
 4:50 p.m.                                       Break

52
                         SECTION A                                SECTION B
                 Chairman: Gilles Godefroy             Chairman: Heinz H. Gonska
5:10 p.m.    Nicolae Danet, Bucharest               Hans-Bernd Knoop, Duisburg
             The space of regular operators with     Inequalities for trigonometric
             the Riesz decomposition property       polynomials
5:30 p.m.    Toshihiko Nishishiraho, Ryukyus        Bogdan Szal, Zielona Gora
             Refinements of Korovkin-type           On the strong approximation of func-
             approximation processes                tions in generalized Hölder spaces
5:50 p.m.    Sabrina Diomede, Bari
             Contractive Korovkin closures in
             weighted spaces of continuous
             functions
6:10 p.m.    Lorenzo D’Ambrosio, Trieste
             Approximation of vector-valued
             mappings



                   WEDNESDAY, SEPTEMBER 27
                                     Chairman: Walter Schempp
9:00 a.m.    Philippe Clément, Delft
              On a class of generators arising from Fleming-Viot processes
10:00 a.m.   Gradimir V. Milovanovic, Nis
              Orthogonal polynomials on the radial rays in the complex plane and
             applications
11:00 a.m.                                       Break
11:30 a.m.   Pietro Aiena, Palermo
              Inessential operators between Banach spaces
                           SECTION A                               SECTION B
                  Chairman: Tamás Erdélyi              Chair.: M. Lanza de Cristoforis
3:00 p.m.    József Szabados, Budapest               Vincenzo Vespri, Firenze
              Extending the Walsh                     A theory semigroup approach to no
             overconvergence theorem to              arbitrage pricing theory
             multivariate complex polynomials
3:35 p.m.    Stefano De Marchi, Udine                Giorgio Metafune, Lecce
              On the limit under scaling of           Estimates of the essential spectrum
             polynomial Lagrange interpolation       of Schrödinger operators
             on analytic manifolds
3:55 p.m.    Agota Horváth, Budapest                 Yuriy Krvavych, Kyiv
              Characterization of Fourier series      Bounded and periodic solutions of
             in different weighted spaces            differential equations with lagging
                                                     argument in Banach spaces

                                                                                        53
 4:15 p.m.    Alba Chiara Simoncelli, Napoli            Torsten Ehrhardt, Chemnitz
               Investigating affine invariance of        Invertibility of Toeplitz plus
              fractal interpolants                      Hankel operators
 4:35 p.m.    Radu Tiberiu Trimbitas, Cluj-             Maria José Rivera, Valencia
              Napoca                                     Applications to the factorization
               Local bivariate Shepard                  theorems for (∞ σ)-nuclear and
              interpolation                             integral operators
 4:50 p.m.                                          Break
                            SECTION A                                 SECTION B
                  Chairman: Carlo Franchetti                Chairman: Ursula Westphal
 5:10 p.m.    Aldric L. Brown, Chandigarh               Camillo Trapani, Palermo
               Suns in finite dimensional normed         On certain Banach modules over
              linear spaces                             C*-algebras
 5:30 p.m.    Clemente Zanco, Milano                    Francesco Fidaleo, Roma
               Almost flat locally finite tilings of     Operator ideals and the split
              the spheres in Banach spaces              property for inclusions of von
                                                        Neumann algebras
 5:50 p.m.    Libor Vesely, Milano                      Rodica-Mihaela Danet, Bucharest
               For a dense set of norms, a non-          Extensions theorems using the
              reflexive Banach space contains a         strong (sigma)-interpolation
              triangle with no Chebyshev center         property for the range space
 6:10 p.m.    Christian Richter, Jena                   Florica Voicu, Bucharest
               Uniform approximation of quasi-           Fixed points of m-mappings
              continuous and cliquish functions
              by step functions
 6:30 p.m.    Valery Galkin, Obninsk                    Ismat Beg, Safat
               Functional solutions theory for           Some random approximation
              evolution equations and                   theorems with applications
              background of numerical methods
              in Tikhonov topology


                     THURSDAY, SEPTEMBER 28
                                       Chairman: Vilmos Totik
 9:00 a.m.    Peter Vertesi, Budapest
              On classical (unweighted) and weighted interpolation
 10:00 a.m.   Hubert Berens, Erlangen
              On l1 summability of the inverse Fourier-Integral on the Euclidean d-space
 11:00 a.m.                                       Break
 11:30 a.m.   Bernd Silbermann, Chemnitz
              The method of limit operators in operator theory and asymptotic spectral theory


54
Opening Ceremony of the Maratea Conference FAAT 2000. From the left: Antonio
Attalienti, Francesco Altomare, the Rector of the University of Basilicata,
Francesco Lely Garolla, Giuseppe Mastroianni and Biancamaria Della Vecchia.




                                                                         55
56
     Index of the Proceedings’ Volume




Functional Analysis and Approximation Theory IV, Proceedings of
the 4th International Conference on Functional Analysis and
Approximation Theory held in Acquafredda di Maratea (Potenza),
September 22-28, 2000, Rend. Circ. Mat. Palermo, Serie II, Suppl.
68 (2002), Voll. I and II, pp. 1-909.


                                                                    57
                                                  VOLUME I

Preface .......................................................................................................... pag. IX
Programme of the Conference......................................................................... » XI
List of participants .......................................................................................... » XXIII

PART I – INVITED LECTURES

Aiena P. - González M - Inessential operators between Banach spaces ........ »                                 3
Berens H. - zu Castell W. - Summability of the l-I Cesàro means of an
      integral transformation connected to a Riesz potential ........................ » 27
Franchetti C. - Semenov E. - The Jung and the self-Jung constant ................ » 35
Lubinsky D. S. - Some polynomial problems arising from Padé
      approximation ....................................................................................... » 49
Milovanović G. V. - Orthogonal polynomials on the radial rays in the
      complex plane and applications ............................................................ » 65
Monegato G. - Scuderi L. - Weighted Sobolev-type spaces and numerical
      methods for 1D integral equations ........................................................ » 95
Neumann M. M. - Recent developments in local spectral theory ................... » 111
Rasa I. - Feller semigroups, elliptic operators and Altomare projections ...... » 133
Silbermann B. - Limit operators in Operator Theory and asymptotic spectral
      theory .................................................................................................... » 157
Totik V. - Sets with minimal order Markoff factors ........................................ » 169
Vértesi P. - On classical (unweighted) and weighted interpolation ................ » 185

PART II – CONTRIBUTED PAPERS

Abel U. - Ivan M. - A Kantorovich variant of the Bleimann, Butzer and Hahn
      operators ............................................................................................... » 205
Aceto L. - Trigiante D. - The Pascal matrix and classical polynomials ......... » 219
Agratini O. - On some new operators of discrete type .................................... » 229




58
Almira J. M. - del Toro N. - Some remarks on negative results in
       Approximation Theory........................................................................... »              245
Arango G. - López Molina J. A. - Rivera M. J. - Properties of the (∞, σ)-
       nuclear and (∞, σ)-integral operators ................................................. »                      257
Binz E. - Schempp W. - DigitaI information technology: the Lie groups
       defining the filter banks of the compact disc ........................................ »                       269
Bongiorno D. - Rademacher theorem in separable Fréchet spaces ............... »                                       293
Bos L. - De Marchi S. - On the limit under scaling of polynomial Lagrange
       interpolation on analytic manifolds ..................................................... »                    303
Brown A. L. - On the problem of characterizing suns in finite dimensional
       spaces ................................................................................................... »   315
de la Cal J. - Carcamo J. - On the boundedness of Bernstein-type operators
       for ϕ-variation norms ........................................................................... »            329
Capobianco M. R. - Criscuolo G. - Volpe A. - Numerical analysis of the
       collocation method for some integral equations with logarithmic
       perturbation kernel ............................................................................... »          339
Cristescu R. - Linear operators and vector integrals in spaces with vector
       norm ..................................................................................................... »   351
D'Ambrosio L. - Mangino E. M. - Some remarks on a general construction
       of approximation processes .................................................................. »                359
Dăneţ N. - The space of regular operators with the Riesz decomposition
       property ................................................................................................ »    373
Dăneţ R.-M. - Wong N.-C. - Extension theorems without Dedekind
       completeness ........................................................................................ »        381
Della Vecchia B. - Mastroianni G. - Vértesi P. - Uniform convergence of
       Hermite-Fejér interpolation based on generalized Jacobi weights ..... »                                        389
Delvos F.-J. - Mean square approximation in multivariate periodic Hilbert
       spaces ................................................................................................... »   407
Fidaleo E. - Operator ideals and the split property for inclusions of von
       Neumann algebras ............................................................................... »             417
Galeev E. - The embedding of the intersections of infinite dimensional
       spaces ................................................................................................... »   429
Gavrea I. - Estimates for positive linear operators in terms of the second
       order Ditzian-Totik modulus of smoothness ......................................... »                          439
Gilewicz J. - Pindor M. - Optimal inequalities between the contiguous two-
       point Padé approximant errors in the Stieltjes case ............................ »                             455


                                                                                                                       59
                                                   VOLUME II

Preface .......................................................................................................... pag. IX
Programme of the Conference......................................................................... » XI
List of participants .......................................................................................... » XXIII

CONTRIBUTED PAPERS (Continued from Volume I)

Gonska H. H. - Tachev G. T. - On the constants in w2ϕ -inequalities ............. » 467
Gonzalez M. - Gutiérrez J. M. - Tensor products and dual spaces with the
       Dunford-Pettis property ........................................................................ »             479
Horváth Á. - Characterization of Fourier series with (C, 1) means ............... »                                   491
Jefferies B. - Piskarev S. - Tauberian theorems for semigroups ..................... »                                513
Kacsó D. P. - Simultaneous approximation by almost convex operators........ »                                         523
Khan M. K. - Approximation at discontinuity ................................................. »                       539
Knoop H.-B. - Zhou X. - On the Jackson operators ....................................... »                            555
Kocić L. M. - Simoncelli A. C. - About affine invariance of fractal
       interpolants ........................................................................................... »     569
Lanza de Cristoforis M. - A result of holomorphic dependence for the
       eigenfunctions of a composition operator ............................................. »                       585
Lewanovicz S. - Representations for the parameter derivatives of the
       classica l orthogonal polynomials ........................................................ »                   599
López-Moreno A.-J. - Martínez-Moreno J. - Muñoz-Delgado E-J. -
       Asymptotic expression of derivatives of Bernstein type operators ........ »                                    615
Mache D. H. - Generalized methods using integral transforms and
       convolution structures with Jacobi orthogonal polynomials ............... »                                    625
Malkowsky E. - Linear operators between some matrix domains ................. »                                       641
Mangino E. M. - A positive approximation sequence related to Black and
       Scholes equation .................................................................................. »          657
Mashele H. P. - The Mhaskar-Prestin operators for general exponential
       weights .................................................................................................. »   671




60
Mastroianni G. - Occorsio D. - Lagrange interpolation based at Sonin -
      Markov zeros .......................................................................................... » 683
Niculescu C. P. - Păltineanu G. - Vuza D. T. - A generalization of a theorem
      of Bernard concerning the frontal sets .................................................. » 699
Nishishiraho T. - Refinements of Korovkin-type approximation processes..... » 711
Păltănea R. - Estimates with second order moduli .......................................... » 727
Pedersen H. L. - On estimation of polynomials in terms of logarithmic sums
      over powers of integers ......................................................................... » 739
Pempera R. - On the pointwise summability of Fourier series by the Cesàro
      and Abel-Poisson means ....................................................................... » 749
Postolică V. - On the best approximation of set junctions .............................. » 761
Rohwer C. H. - Fast approximation with locally monotone sequences .......... » 777
Serra Capizzano S. - Test functions, growth conditions and Toeplitz matrices» 791
Sharma A. - Szabados J. - A multivariate extension of Walsh 's
      overconvergence theorem ..................................................................... » 797
Shaw S.-Y. - Li Y.-C. - On solvability of Ax = y, approximate solutions, and
      uniform ergodicity ................................................................................. » 805
Shibata Y. - Shimizu S. - On the Lp and Schauder estimates of the solutions
      to elastostatic interface problems ......................................................... » 821
Simkani M. - Sufficient conditions for propagation of convergence............... » 837
Stancu D. D. - Simoncelli A. C. - Compound poweroid operators of
      approximation ...................................................................................... » 845
Trapani C. - Sesquilinear forms on certain Banach C*-modules ................... » 855
Trîmbiţaş R. T. - Local bivariate Shepard interpolation ................................ » 865
Voicu M. - Projective limits of linear operators ............................................ » 879
Westphal U. - Neubauer M. - Fractional powers of group generators via
      fractional central differences ............................................................... » 897




                                                                                                               61
62
                                                   Fifth Edition

               5th International Conference on
Functional Analysis and Approximation Theory
                          June 17-22, 2004




Organizing Committee: Francesco Altomare, Antonio Attalienti, Michele
Campiti, Lorenzo D’Ambrosio, Sabrina Diomede, Giuseppe Mastroianni,
Donatella Occorsio, Maria Grazia Russo.

                                                                   63
                  Program of the Conference
                          THURSDAY, JUNE 17
9:00 a.m.                              Opening Ceremony
                                     Chairman: Vilmos Totik
9:30 a.m.    Bernd Silbermann, Chemnitz
             Approximation of spectra and numerical linear algebra
10:30 a.m.   Aldric Brown, London
             Metric projections in spaces of continuous functions- from Chebyshev and
             Haar to the present
11:30 a.m.                                      Break
12:00 a.m.   Borislav Bojanov, Sofia
             Interpolation by bivariate polynomials
                         SECTION A                               SECTION B
                  Chairman: Zeev Ditzian              Chairman: Romulus Cristescu
3:00 p.m.    Peter Vertesi, Budapest                Richard Becker, Paris VI
             Some Remarks on Paraorthogonal         On normal cones and positive
             Polynomials                            operators in Banach spaces
3:35 p.m.    Marie-Madeleine Derriennic,            Mariusz Szczepanik, Lublin
             Rennes                                 Nearly uniformly noncreasy spaces
             Analogues in q-calculus of
             Bernstein-Durrmeyer polynomials
             and Jacobi polynomials
3:55 p.m.    Ioan Rasa, Cluj-Napoca                 Jan Fourie, Potchefstroom
             Some C0-Semigroups Related to          Absolutely (p,q)-summing
             Polynomial Operators                   multiplier sequences and functions
                                                    with applications to tensor products
4:15 p.m.    Ulrich Abel, Friedberg                 Andrzej Kryczka, Madrid
             Asymptotic approximation by            Estimates of deviation from weak
             Dunmeyer variants of Jabinovshi-       compactens for operators
             Leviatan operators                     interpolated by polygon method
4:35 p.m.    Octavian Agratini, Cluj-Napoca         Ilse Röntgen, Potchefstroom
             Rate of convergence of a class of      Strongly (p,q)-summing and cohen
             Bézier-Durrmeyer type operators        (p,q)-summing operators on Banach
             for functions of bounded variation     spaces
4:55 p.m.    Francoise Bastin, Liège                Libor Vesely, Milano
             A Riesz basis of wavelets with         One-Point Location Problem from a
             deficient splines and its dual         very General Point of View
6:10 p.m.                                       Break

64
                       SECTION A                              SECTION B
             Chair.: Miguel A. Jimenez Pozo           Chairman: Ehrhard Behrends
5:30 p.m.    Dany Leviatan, Tel-Aviv                Jan Vybiral, Jena
             The Bramble-Hilbert Lemma for          Function Spaces with Dominating
             Convex Domains and Applications        Mixed Smoothness, Decomposition
                                                    Techniques, Entropy Numbers
5:50 p.m.    Marcel G. De Bruin, Delft              Carsten Michels, Oldenburg
             Overconvergence of some next-to-       Norms of tensor product identities
             interpolatory polynomials
6:10 p.m.    Rupert Lasser, Munich                  Maria J. Rivera, Valencia
             Homogeneous Banach spaces and          On the natural norm in tensor
             Segal algebras with respect to         products respect to complex Banach
             orthogonal polynomials                 lattices
6:30 p.m.    Laura Angeloni, Perugia                Christian Richter, Jena
             Rate of approximation in modular       Counterexamples to Knaster's
             spaces for nonlinear integral          conjecture
             operators
6:50 p.m.    Elena Berdysheva, Stuttgart            Trond Abrahamsen, Kristiansand
             Bernstein-Durrmeyer type quasi-        A test for bounded semivariation
             interpolants on intervals
7:10 p.m.    Sofiya Ostrovska, Ankara               Olav Nygaard, Kristiansand
             Properties of q-Bernstein              Some Open Problems Concerning
             polynomials                            Massiveness


                             FRIDAY, JUNE 18
                                       Chairman: Lutz Weis
9:00 a.m.    Nigel Kalton, Columbia, Missouri
             Greedy Algorithms and Bases
9:55 a.m.    Francisco Marcellan, Madrid
             Asymptotics for Sobolev orthogonal polynomials: bounded and unbounded
             supports
10:50 a.m.                                    Break
11:20 a.m.   Ehrhard Behrends, Berlin
             The small ball property in Banach spaces (quantitative results)
12:05 a.m.   Ursula Westphal, Hannover
             K-Functionals related to semigroups of operators




                                                                                    65
                                            SECTION B                    SECTION C
                 SECTION A
                                         Chairman: Witold             Chairman: Peter
            Chairman: Ioan Rasa
                                              Wnuk                        Vertesi
3:00 p.m.   George A.                  Romulus Cristescu,           Uwe Luther, Chemnitz
            Anastassiou, Memphis       Bucharest                    Weighted uniform
            Fractional and other       Regular operators on         convergence of
            approximation of           spaces of vector valued      collocation methods for
            Csiszar's f-divergence     functions                    Cauchy singular integral
                                                                    equations
3:35 p.m.   Miguel Antonio             Oleksiy Karlovych,           Giuliana Criscuolo,
            Jimenez Pozo, Puebla       Lisbon                       Napoli
            A class of splines with    Fredholmness of singular     Numerical methods for
            constrain length           integral operators in gen-   nonlinear integral
                                       eralized Lebesg-ue spaces    equations of Prandtl’s
                                       with variable exponent       type
3:55 p.m.   Ioan Gavrea, Cluj-         Thomas Kühn,                 Alexandru Mihai
            Napoca                     Leipzig                      Bica, Oradea
            The rate of convergence    Entropy numbers of           A new method to approx-
            by certain new Meyer-      embeddingd of weight-        imate the solutions of the
            Konig and Zeller           ed Besov spaces              first order delay neutral
            operators of finite type                                differential equations
4:15 p.m.   Alexander Stokolos,        Miroslawa Zima,              Maria Rosaria
            Chicago, Illinois          Rzeszow                      Capobianco, Napoli
            On the rate of a.e.        On the Local Spectral        Some remarks on
            Approximations by          Radius of Positive           quadrature rules on
            Certain Integral Mean      Operators                    unbounded intervals
4:35 p.m.   Yuliya Babenko,            Vasile Postolica,            Woula
            Vanderbilt, Tennessee      Piatra Neamt                 Themistoclakis,
            On existence of            A survey on the best         Napoli
            functions with             approximation in             Jackson Theorems via
            prescribed norms of its    locally convex spaces        de la Vallée Poussin
            derivatives                                             means
4:55 p.m.   Vasiliy Prokhorov,         Mirella Cappelletti          Maria Italia Gualtieri,
            South Alabama              Montano, Bari                Cosenza
            On best approximation      Korovkin-type                New automatic non
            of analytic functions by   theorems in regular          interpolatory
            rational functions         convex vector lattices       quadrature and
                                       of continuous functions      cubature formulas
5:10 p.m.                                       Break
                       SECTION A                                  SECTION B
               Chairman: József Szabados                   Chairman: Maria Girardi
5:30 p.m.   Jacek Gilewicz, Marseille                Franciszek H. Szafraniec, Krakow
            Some inequalities for N-point Padé       Operator of the q-oscillator and their
            approximation in the Stiltjes case       relatives

66
5:50 p.m.    Maria Grazia Russo, Potenza            Frank Filbir, Neuherberg
             Some Remarks on a Lp estimate of       Hypergroups with compact
             the Lagrange interpolation error       translation operators
6:10 p.m.    Donatella Occorsio, Potenza            Liliana Pavel, Bucharest
             An extension of Bernstein operator     Invariant subsets of the Lp-spaces of
             on the semiaxis                        a hypergroup
6:30 p.m.    Szilárd Révész, Budapest               Carl Rohwer, Stellenbosch
             Turán-Markov inequalities for          Approximation and Quasi-Inverses
             convex domains on the plane            of Min/Max Operators
6:50 p.m.    Margit Lénárd, Safat                   Jasbir Singh Manhas, Alkhod
             On weighted (0,2) interpolation        Composition operators and
                                                    homomorphisms on weighted spaces
                                                    of analytic functions
7:10 p.m.    Béla Nagy, Szeged                      Francesco Tschinke, Palermo
             Asymptotic real Bernstein inequality   C*-Seminorms Generated by a
             in Lα norm                             Family of Biweights on Partial *-
                                                    Algebras

                           SATURDAY, JUNE 19
                                     Chairman: Irina Melnikova
9:00 a.m.     Lutz Weis, Karlsruhe
              The holomorphic H∞-functional calculus
9:55 a.m.     Yuan Xu, Eugene, Oregon
              Polynomials of least deviation from zero in several variables
10:50 a.m.                                       Break
11:20 a.m.    Niels Jacob, Swansea
              Fractional derivatives and semigroup theory
12:05 a.m.    Zeev Ditzian, Edmonton
              Multivariate Averages Approximation
                           SECTION A                          SECTION B
                       Chairman: Kroó                     Chairman: G. Bucur
3:00 p.m.     Francisco J. Muñoz Delgado, Jaén       Witold Wnuk, Poznan
              Hölder approximation by Berstein       Topological Riesz spaces satisfying
              polynomials                            the Levi property
3:20 p.m.     Paolo Emilio Ricci, Roma               Nicolae Danet, Bucharest
              Operatorial Solutions of Boundary      Extensions of linear operators
              Value Problems in Half Space
3:40 p.m.     István Blahota, Nyiregyhaza            Florica Voicu, Bucharest
              On Vilenkin-like systems               Fixed points for mappings in
                                                     complete vector lattices

                                                                                       67
4:00 p.m.   Yamina Laskri, Annaba                 Angela Albanese, Lecce
            Asymptotics behavior for Lp           Intersections of Fréchet spaces and
            extremal polynomials off a complex    (LB)-spaces
            curve
4:20 p.m.   György Gát, Nyiregyhaza               José A. Conejero Casares,
            On a.e. summability of Fourier        Valencia
            series on Vilenkin groups             On Mixing properties of
                                                  semigroups of operators
4:40 p.m.   Rabah Khaldi, Annaba                  Alexander Brudnyi, Alberta
            Strong Asymptotics of orthogonal      Grauert and Lax-Halmos-type
            polynomials on the segment [1,-1]:    theorems and extension of matrices
            the case of a measure with infinite   with entries in H∞
            discrete part
4:55 p.m.                                       Break
                         SECTION A                               SECTION B
                    Chairman: Yuan Xu                  Chairman: Ursula Westphal
5:15 p.m.   Károly Nagy, Nyiregyhaza                Irina Melnikova, Ekaterinburg
            Some convergence properties of the Semigroup and distribution methods
            Walsh-Kaczmarz system                   as regularization for ill-posed
                                                    abstract differential problems
5:35 p.m.   Miguel A. Piñar, Granada                Mihai Voicu, Bucharest
            Bivariate orthogonal polynomials        Pseudo-Resolvent on locally convex
            satisfying second-order differencre     spaces
            equations
5:55 p.m.   Rodolfo Toledo, Nyiregyhaza             Assia Guezane-Lakoud, Annaba
            Convergence in norm on the              Boundary value problem for
            complete product of finite groups       functional differential equations
6:15 p.m.   Joaquin F. Sanchez-Lara, Almeria Rachida Amiar, Annaba
            Computation of the Entropy of           On the approximation of the
            Orthogonal Polynomials                  solutions of elliptic parabolic
                                                    equations by positive operators
6:35 p.m.   Lidia Fernandez, Granada                Roman Drnovšek, Ljublijana
            On multivariate classical orthogonal Maximal dominated operator
            polynomials                             semigroups
6:55 p.m.   Marija Stanic, Kragujevac               Maren Schmalmack, Hannover
            Multiple orthogonality and              Asymptotic behaviour of
            quadrature of gaussian type             convolution semigroups
7:15 p.m.   Karol Dziedziul, Gdansk
            Asymptotic formula in orthogonal
            projection



68
                              SUNDAY, JUNE 20
7:00 p.m.                                     Social Dinner

                             MONDAY, JUNE 21
Special Session dedicated to Professor G. Mastroianni on the occasion of his 65th birthday

                                   Chairman: Gradimir Milovanović
9:00 a.m.      Francesco Altomare, Bari
               On the scientific activity of Professor Giuseppe Mastroianni
9:55 a.m.      Vilmos Totik, Szeged, Hungary & South Florida
               Green's functions and approximation theory
10:50 a.m.                                           Break
11:20 a.m.     Giovanni Monegato, Torino
               Truncated interpolation processes on unbounded intervals and their
               applications
12:05 a.m.     József Szabados, Budapest
               Weighted approximation by generalized Szàsz-Mirakjan operators
                            SECTION A                                 SECTION B
                 Chairman: Marcel G. de Bruin                Chairman: Gianluca Vinti
3:00 p.m.      Sergiy Borodachov, Vanderbilt            Gheorghe Bucur, Bucharest
               On optimization of approximate           Maps preserving potentials
               integration over a d-dimensional ball
3:20 p.m.      Michael-Ralf Skrzipek, Hagen             Eggert Briem, Reykyavik
               Shift strategies for Polynomial          Ultra non-vanish function spaces
               expansions                               and operating functions
3:40 p.m.      Letizia Scuderi, Torino                  Jacobus Grobler, Potchefstroom
               Numerical Integration of Functions       Embedded marginal spaces
               with Endpoints Singularities and/or
               Complex Poles in 3D Galerkin Bem
4:00 p.m.      Włodzimierz Łenski, Zielona Gora Pawel Kolwicz, Poznan
               Pointwise strong approximation by        Coefficient of orthogonal convexity
               orthogonal expansions                    of some Banach function spaces
4:20 p.m.      Maria Carmela De Bonis, Potenza Ileana Bucur, Bucharest
               Numerical methods for CSIE in            Multiple sandwich theorem in linear
               [-1,1]                                   ordered spaces
4:40 p.m.      Aleksandar Cvetkovic, Nis                Luigi Muglia, Cosenza
               Numerical construction of                About common solutions for
               generalized Hermite polynomials          differential systems
4:55 p.m.                                          Break


                                                                                         69
                       SECTION A                               SECTION B
                  Chairman: Ulrich Abel                   Chairman: Niels Jacob
5:15 p.m.    Mircea Ivan, Cluj-Napoca               Faouzia Rebbani, Annaba
             Mean value theorems and divided        Study of an abstract non-local
             differences                            boundary value problem
5:35 p.m.    Carmen Sanguesa, Zaragoza              M. Lanza de Cristoforis, Padova
             A probabilistic approach to divided    Persistence of eigenvalues and
             difference expansions                  multiplicity in the Neumann
                                                    problem for the Laplace operator on
                                                    nonsmooth domains
5:55 p.m.    Javier Cárcamo, Bilbao                 David Jornet Casanova, Valencia
             Some optimal quadrature rules of       ω-hypoelliptic differential operators
             probabilistic type                     of constant strength
6:15 p.m.    Aicke Hinrichs, Jena                   Nikita Artamonov, Moscow
             Covering numbers, Vapnik-              Estimates of solutions for some
             Cervonenkis classes and bounds for     classes of second order differential
             the star-discrepancy                   equations in Hilbert space
6:35 p.m.    Mariusz Piotrowski, Jena               Bjoern Böttcher, Swansea
             Fourier type 2 operators with          A parametrix construction for the
             respect to locally compact abelian     foundamental solution of the
             groups                                 evolution equation associated with a
                                                    pseudo-differential operator
6:55 p.m.    Iurie Caraus, Chisinau                 Alexander Potrykus, Swansea
             The numerical solution for the         Roth's method applied to some
             systems of singular integro- differ-   pseudo-differential operators with
             ential equations in Hölder spaces      bounded symbols
7:15 p.m.                                           Anastasia Zakharova, Moscow
                                                    Frames and Their Generalisation


                            TUESDAY, JUNE 22
                                    Chairman: Dany Leviatan
9:00 a.m.    Gradimir Milovanović, Niş
             Gaussian quadrature formulae of non-standard type
9:55 a.m.    Gianluca Vinti, Perugia
             From Approximation theory to signal processing: recent developments
10:50 a.m.                                    Break
11:20 a.m.   Andras Kroò, Budapest
             On recent Progress in Extremal Problems for Multivariate Polynomials
12:05 a.m.   Maria Girardi, Karlsruhe
             Integral operators with operator-valued kernels

70
                      SECTION A                               SECTION B
              Chairman: Bernd Silbermann                Chairman: Nigel Kalton
3:00 p.m.   Yuri Brudnyi, Haifa                    Marian Nowak, Poznan
            Interpolation and approximation of     Topological properties of vector-
            anisotropic Besov spaces               valued function spaces
3:20 p.m.   Evgeniy Pustylnik, Haifa               Ahmed Zayed, Chicago
            A new class of approximation           Interpolation of functions having
            spaces                                 values in a Banach space
3:40 p.m.   Ferenc Tookos, Tampa                   Camillo Trapani, Palermo
            Smoothness of Green’s functions        Recent results on *-representations
                                                   of normed partial *-algebras
4:00 p.m.   Joan Cerdà, Barcelon                   Salvatore Triolo, Palermo
            Approximation spaces, interpolation    Non-commutative Lp spaces as
            and commutators for multipliers on     Banach C*modules
            Rn
4:20 p.m.   Sándor Szabó, Budapest                 Eberhard Malkowsky, Niş
            An application of potential theory     Matrix transformations and
                                                   measures of noncompactness
4:40 p.m.   Gunther Schmidt, Berlin                Alessandro Trombetta, Cosenza
            Numerical Solutions of the             Rearrangements of functions and
            Lippman-Schwinger Equation             compactness in the space L∞
4:55 p.m.                                      Break

                                                                SECTION B
                     SECTION A
                                                     Chairman: Franciszek Hugon
              Chairman: Borislav Bojanov
                                                                Szafraniec
5:15 p.m.   Khosrow Maleknejad, Karaj              Giulio Trombetta, Cosenza
            Numerical Solution of Non-Linear       1-ball contractive retractions onto
            Hammerstein Equations by Using         the shepre
            Piecewise Polynomials
5:35 p.m.   Wolfgang zu Castell, Neuherberg        Jurie Conradie, Cape Town
            Positive definite functions on         Uniformly integrable sets and
            various domains                        embeddings
5:55 p.m.   Agota Horváth, Budapest                Jan Schneider, Jena
            Weighted Fekete points as 1(W)-        Function spaces of varying
            normal point system                    smoothness
6:15 p.m.   Joris van Deun, Heverlee
            Computing orthogonal rational
            functions on a halfline




                                                                                         71
     Participants in the Maratea Conference FAAT 2004 during a coffee break.




72
     Index of the Proceedings’ Volume




Functional Analysis and Approximation Theory V, Proceedings of
the 5th International Conference on Functional Analysis and
Approximation Theory held in Acquafredda di Maratea (Potenza),
June 16-23, 2004, Rend. Circ. Mat. Palermo, Serie II, Suppl. 76
(2005), pp. 1-700.


                                                                  73
                                                   VOLUME I

Preface .......................................................................................................... pag. ix
Program of the Conference ............................................................................. »               xi
List of participants .......................................................................................... » xxvii

PART I – INVITED LECTURES

Behrends E. - The small ball properry in Banach spaces - Qualitative
      results .................................................................................................. pag. 3
Brown A. L. - The questions of Haar and Mairhuber for five possible
      properties of a metric projection in a space of continuous functions ... » 17
Jacob N. - Potrykus A. - Roth's method applied to some pseudo-
      differential operators with bounded symbols. A case study ................. » 45
Kroó A. - Newman-type inequalities for multivariate polynomials ................ » 59
Milovanović G.V. - Stanić M - Multiple ortlogonality and quadratures of
      gaussian type ........................................................................................ » 75
Toókos F. - Totik V. - Markov ineqllality and Green functions .................... » 91
Vinti G. - Approximation in Orlicz spaces for linear integral operators
      and Applications .................................................................................. » 103
Yuan Xu - Best approximation of monomials in several variables ................ » 129



PART II – CONTRIBUTED PAPERS

Abel U. - Della Vecchia B. - Ivan M. - Simultaneous asymptotic
      approximation by Jakimovski-Leviatan-Durrmeyer operators and
      their linear combinations ..................................................................... » 157
Agratini O. - Rate of convergence of a class of Bézier Type operators for
      functions of bounded variation ............................................................. » 177




74
Anastassiou G. A. - Fractional and other approximation of Csiszar's f-
      divergence ........................................................................................... pag. 197
Briem E. - Ultra non-vanishing function spaces and operating functions ...... » 213
Cerdà J. - Martìn J. - q-Variation and commutators for Fourier
      multipliers ............................................................................................. » 221
Conradie J. - Uniform integrability, rearrangements and embeddings .......... » 233
Costabile F. - Gualtieri M. L - New automatic non interpolatory
      quadrature and cubature formulas ...................................................... » 255
Derriennic M. M. - Modified Bernstein polynomials and Jacobi
      polynomials in q-Calculus .................................................................... » 269
van den Esker H. - De Bruin M. G. - Koekoek R. - Overconvergence of
      some next-to-interpolatory polynomials ............................................... » 291
Fernández L. - Pérez T. E. - Pinar M.A. - On multivariate classical
      orthogonal polynomials ........................................................................ » 315
Fischer G. - Lasser R. - Homogeneous Banach spaces with respect to
      Jacobi polynomials ............................................................................... » 331
Gát G. - Properties of Fejér means of Fourier series with respect to
      unbounded Vilenkin systems.................................................................. » 355
Gavrea I. - Trif T. - The rate of convergence by certain new Meyer-Konig
      and Zeller operators of finite type ......................................................... » 375
Hinrichs A. - Michels C. - Approximation numbers of inclusions between
      Schatten classes .................................................................................... » 395
Lamberti P. D. - Lanza de Cristoforis M. - Persistence of eigenvalues and
      multiplicity in the Neumann problem for the Laplace operator on
      nonsmooth domains .............................................................................. » 413
Lénárd M. - On weighted (0,2) -interpolation ................................................ » 429
Łenski W.- Kranz R. - On the pointwise strong approximation by
      orthogonal expansions ......................................................................... » 445
Mache D. - Rasa I. - Some C0-semigroups related to polynomial
      Operators ............................................................................................. » 459
Mastroianni G. - Occorsio D. - Fourier sums in Sonin-Markov
      polynomials .......................................................................................... » 469



                                                                                                                 75
Melnikova L V. - Regularized solutions constructed by semigroup and
      distribution techniques ......................................................................... »             487
Nagy K. - Some convergence properties of the Walsh-Kaczmarz system
      with respect to Marcinkiewicz means .................................................. »                        503
Pustylnik E. - A new class of approximation spaces ...................................... »                           517
Rohwer C. H. - Quasi-inverses and approximation with Min-Max
      operators .............................................................................................. »      533
Schmalmack M. - A Tauberian theorem for convolution semigroups ............ »                                         547
Skrzipek M.-R. - Shift strategies for polynomial expansions ......................... »                               561
Trapani C. - Some results on the structure of partial *- algebras .................. »                                573
Trapani C. - Triolo S. - Auxiliary seminorms and the structure of a CQ*-
      algebra ................................................................................................. »     587
Trebels W. - Westphal U. - K-functionals related to semigroups of
      Operators .............................................................................................. »      603
Van Deun J. - Bultheel A. - Computing orthogonal rational functions on
      a halfline .............................................................................................. »     621
Vesely L. - One-point location problems from a very general point of
      view ...................................................................................................... »   635
Voicu M. - Pseudo-resolvents on locally convex spaces ................................ »                              655
Zakharova A. A. – Integral frames and Riesz bases ...................................... »                            667




76
                                                    Sixth Edition

               6th International Conference on
Functional Analysis and Approximation Theory
                          September 24-30, 2009




Organizing Committee: Francesco Altomare, Antonio Attalienti, Michele
Campiti, Mirella Cappelletti Montano, Lorenzo D'Ambrosio, Maria Carmela
De Bonis, Sabrina Diomede, Vita Leonessa, Giuseppe Mastroianni,
Donatella Occorsio, Maria Grazia Russo.

                                                                     77
78
                             List of the participants
                              in at least one edition
  The following list includes the names of all mathematicians (about 600)
  who attended at least one edition of the Maratea Conferences

• Ulrich Abel, Friedberg, Germany       •   Mohamed Jalel Atia, Gabes, Tunisia
• Jose Antonio Adell, Zaragoza -        •   Antonio Attalienti, Bari, Italy
    Spain                               •   Jean-Marie Aubry, Crétel, France
• Trond Abrahamsen, Kristiansand,       •   Diego Averna, Palermo, Italy
    Norway                              •   Yuliya Babenko, Nashville, U.S.A.
• Mahmoud Afshari, Boushehr, Iran       •   Anton L. V., von Bachhaus,
• Octavian Agratini, Cluj-Napoca,             Steinalben – Germany
    Romania                             •   Catalin Badea, Paris, France
• Pietro Aiena, Palermo, Italy          •   Francisco German Badía, Zaragoza,
• Ali Akhmedov, Baku, Azerbaijan              Spain
• Saouban Akhmetov, Kazan,              •   Ghorban Ali Bagheri-Bardi,
    Tatarstan                                 Boushehr, Iran
• Teimuraz Akhobadze, Tbilisi,          •   Sidi Mohammed Bahri,
    Georgia                                   Mostaganem, Algérie
• Angela Albanese, Lecce, Italy         •   Carlo Bardaro, Perugia, Italy
• Manuel Alfaro, Zaragoza, Spain        •   Marco Baronti, Ancona, Italy
• Javid Ali, Kampur, India              •   Wojciech Bartoszek, Pretoria,
• Alexey Alimov, Moscow, Russia               Republic of South Africa
• Jose M. Almira, Jaén, Spain           •   Francoise Bastin, Liège, Belgium
• Javier Alonso, Badajoz, Espana        •   Heinz Bauer, Erlangen, Germany
• Francesco Altomare, Bari, Italy       •   Elgiz Bayram, Tandogan/Ankara,
• Renato Alvarez-Nodarse, Madrid,             Turkey
   Spain                                •   Ronald Beattie, Sackville, Canada
• Umberto Amato, Napoli, Italy          •   Richard Becker, Paris, France
• Rachida Amiar, Annaba, Algeria        •   Ferdinand Beckhoff, Münster,
• Dan Amir, Tel Aviv, Israel                  Germany
• George A. Anastassiou, Memphis -      •   Ismat Beg, Safat, Kuwait
   U.S.A.                               •   Ehrhard Behrends, Berlin,
• Fuensanta Andreu, Valencia, Spain           Germany
• Laura Angeloni, Perugia, Italy        •   Giorgia Bellomonte, Palermo, Italy
• Jean-Pierre Antoine, Louvain-la-      •   Elena Berdysheva, Stuttgart,
   Neuve, Belgium                             Germany
• Jürgen Appell, Würzburg, Germany      •   Hubert Berens, Erlangen, Germany
• Nikita Artamonov, Moscow, Russia      •   Christian Berg, Copenhagen,
• Dragu Atanasiu, Borås, Sweeden              Denmark

                                                                           79
• Elias Berriochoa, De Vigo, Spain      • Maria Rosaria Capobianco, Napoli,
• Renata Besenghi, Torino, Italy            Italy
• Anna Betiuk-Pilarska, Lublin,         • Mirella Cappelletti Montano, Bari,
    Poland                                  Italy
• Maryam Beyg Mohammadi,                • Iurie Caraus, Chisinau, Moldova
    Kermanshah, Iran                    • Antonio Carbone, Cosenza, Italy
• Waldecir Bianchini, Rio de Janeiro,   • Ingrid Carbone, Cosenza, Italy
    Brazil                              • Javier Cárcamo, Bilbao, Spain
• Alexandru Mihai Bica, Oradea,         • Wolfgang zu Castell, Neuherberg,
    Romania                                 Germany
• Peter Biström, Åbo Akademi,           • Jesus Castillo, Badajos, Spain
    Finland                             • Paola Cavaliere, Salerno, Italy
• István Blahota, Nyiregyhaza,          • Joan Cerdà, Barcelon, Spain
    Hungary                             • Jacob Christiansen, Copenhagen,
• Hans Peter Blatt, Eichstätt,              Denmark
    Germany                             • Raffaella Cilia, Catania, Italy
• Bjoern Boettcher, Wales, United       • Ioana Cioranescu, Paderborn,
    Kingdom                                 Germany
• R. Bojanic, Ohio, U.S.A.              • Philippe Clément, Delft, The
• Borislav Bojanov, Sofia, Bulgaria         Netherlands
• Donatella Bongiorno, Palermo, Italy   • Giuseppe Colacicco, Gioia del
• Sergiy Borodachov, Vanderbilt ,           Colle, Bari, Italy
    U.S.A.                              • Vittorio Colao, Cosenza, Italy
• Len Bos, Alberta, Canada              • Maria Luisa Colasante, Merida,
• Nikolai Bozhinov, Sofia, Bulgaria         Venezuela
• Eggert Briem, Hjardarhaga, Iceland    • Lutz Collatz, Hamburg, Germany
• Aldric Brown, London, United          • Leonardo Colzani, Milano, Italy
    Kingdom                             • José A. Conejero Casares, Valencia,
• Alexander Brudnyi, Alberta,               Spain
    Canada                              • Jurie Conradie, Rondebosch, South
• Yuri Brudnyi, Haifa, Israel               Africa
• Gheorghe Bucur, Bucharest,            • Giuliana Criscuolo, Napoli, Italy
    Romania                             • Romulus Cristescu, Bucharest,
• Ileana Bucur, Bucharest, Romania          Romania
• Dariusz Bugajewski, Poznan,           • Aleksandar Cvetkovic, Nis, Serbia
    Poland                              • Lorenzo D'Ambrosio, Bari, Italy
• Laura Burlando, Genova, Italy         • Nicolae Danet, Bucharest, Romania
• Paul L. Butzer, Aachen, Germany       • Rodica-Mihaela Danet, Bucharest,
• Alicia Cachafeiro, Vigo, Spain            Romania
• Nenad Cakic, Beograd, Serbia          • Claudio D'Antoni, Roma, Italy
• Franca Caliò, Milano, Italy           • Giuseppe Da Prato, Pisa, Italy
• Daniela Calvetti, Hoboken, U.S.A.     • Antonio R. da Silva, Rio de Janeiro,
• Michele Campiti, Lecce, Italy             Brazil
• Domenico Candeloro, Perugia, Italy    • Maria Carmela De Bonis, Potenza,
• Cannizzo, Palermo, Italy                  Italy

80
• Marcel G. De Bruin, Delft, The        • Torsten Ehrhardt, Chemnitz,
    Netherlands                            Germany
• Italia De Feis, Napoli, Italy         • Sven Ehrich, Neuherberg, Germany
• Jesús de la Cal, Bilbao, Spain        • Johannes Elschner, Berlin,
• Ricardo del Campo Acosta, Sevilla,       Germany
    Spain                               • Giovanni Emmanuele, Catania, Italy
• Antonia Delgado, Granada, Spain       • Klaus-Jochen Engel, Tübingen,
• Biancamaria Della Vecchia, Roma,         Germany
    Italy                               • Wolfgang Erb, Munich, Germany
• Naira Del Toro, Jaén, Spain           • Tamás Erdélyi, Texas, U.S.A.
• Franz Jürgen Delvos, Siegen,          • Rafael Espinola, Sevilla, Spain
    Germany                             • Ali Farajzadeh, Kermanshah, Iran
• Stefano De Marchi, Udine, Italy       • Angelo Favini, Bologna, Italy
• Leonede De Michele, Milano, Italy     • Luisa Fermo, Potenza, Italy
• Ben de Pagter, Delft, The             • Antonio Fernandez, Sevilla, Spain
    Netherlands                         • Lidia Fernandez, Granada, Spain
• Espedito De Pascale, Cosenza, Italy   • Rosell Carmen Fernández,
• Marie-Madeleine Derriennic,              Burjassot, Spain
    Rennes, France                      • Francesco Fidaleo, Roma, Italy
• Bhavana Deshpande, Ratlam, India      • Miroslav Fiedler, Praha, Czech
• F. De Tisi, Milano, Italy                Republic
• Ronald. A. De Vore, Columbia,         • Frank Filbir, Neuherberg, Germany
    U.S.A.                              • Wolfgang Filter, Zürich,
• Fatma Diaba, Annaba, Algeria             Switzerland
• Juan Carlos Diaz, Córdoba, Spain      • Martina Finzel, Erlangen, Germany
• Cristina Di Bari Vetro, Palermo,      • Alberto Fiorenza, Napoli, Italy
    Italy                               • Klaus-Jürgen Förster, Hildesheim,
• Gabriella Di Blasio, Roma, Italy         Germany
• Gregor Dieckmann, Münster,            • Jan Fourie, Potchefstroom, South
    Germany                                Africa
• Marina Di Natale, Milano, Italy       • Maria Fragoulopoulou, Athens,
• Susanne Dierolf, Trier, Germany          Greece
• Mauro Diligenti, Brescia, Italy       • Carmelina Frammartino, Potenza,
• Seen Dineen, Dublin, Ireland             Italy
• Lorenza Diomeda, Potenza, Italy       • Carlo Franchetti, Firenze, Italy
• Sabrina Diomede, Bari, Italy          • M. Franciosi, Salerno, Italy
• Zeev Ditzian, Alberta, Canada         • Assia Frioui, Guelma, Algérie
• Radosav Z. Djordjevic, Nis, Serbia    • Marco Frontini, Milano, Italy
• Kathy A. Driver, Johannesburg,        • Daniele Funaro, Modena, Italy
    Republic of South Africa            • Antonio Galbis Verdù, Burjassot,
• Roman Drnovšek, Ljublijana,              Spain
    Slovenia                            • Elfat Galeev, Moscow, Russia
• Dimiter Dryanov, Sofia, Bulgaria      • Valeriy Galkin, Obninsk, Russia
• Antonio J. Duran, Sevilla, Spain      • György Gát, Nyiregyhaza, Hungary
• Karol Dziedziul, Gdansk, Poland       • L. Gatteschi, Torino, Italy

                                                                         81
•    Walter Gautschi, Lafayette, U.S.A.   •   Chris Impens, Gent, Belgium
•    Ioan Gavrea, Cluj-Napoca, Romania    •   F. Iardino, Napoli, Italy
•    Bruna Germano, Roma, Italy           •   Gennaro Infante, Cosenza, Italy
•    Andreas Gessinger, Aachen,           •   Mircea Ivan, Cluj-Napoca, Romania
       Germany                            •   Niels Jacob, Wales, United Kingdom
•    Michael Gil', Beer-Sheva, Israel     •   Tadeusz Jankowski, Gdansk, Poland
•    Jacek Gilewicz, Marseille , France   •   Hans Jarchow, Zürich, Switzerland
•    Carla Giordano, Torino, Italy        •   Mourad Jelassi, Al Jouf, Kingdom
•    Raffaella Giova, Napoli, Italy            of Saudi Arab
•    Nicolò Giovannelli, Palermo, Italy   •   Miguel Antonio Jimenez Pozo
•    Maria Girardi, Karlsruhe, Germany         Puebla, Mexico
                                          •   David Jornet Casanova, Valencia,
•    Luciano Gobbo, Torino, Italy
                                               Spain
•    Gilles Godefroy, Paris, France       •   Peter Junghanns, Chemnitz,
•    Ushangi Goginava, Tbilisi, Georgia        Germany
•    Heinz H. Gonska, Duisburg,           •   Daniela Patricia Kacso, Duisburg,
       Germany                                 Germany
•    Manuel Gonzalez, Santander, Spain    •   Valeri Kaliaguine, Novgorod,
                                               Russia
•    Laura Gori Nicolò Amati, Roma,
                                          •   Nigel Kalton, Missouri, U.S.A.
       Italy                              •   Gennadiy Kalyabin, Samara, Russia
•    Laura Gotusso, Milano, Italy         •   Jaroslaw Kapeluszny, Lublin,
•    Mario Götz, Eichstaett, Germany            Poland
•    Annette Grabosch, Tübingen,          •   Oleksiy Karlovych, Lisbon, Portugal
       Germany                            •   Marcia Kashimoto, Itajuba, Brazil
•    Jacobus Grobler, Potchefstroom,      •   Mikio Kato, Kitakyushu, Japan
       Republic of South Africa           •   Rabah Khaldi, Annaba, Algeria
•    Maria Italia Gualtieri, Cosenza,     •   Mohammad Kazim Khan, Kent-
       Italy                                    Ohio, U.S.A.
•    Assia Guezane-Lakoud, Annaba,        •   Alhami Kifah, Irbid-Jordan, Jordan
       Algeria                            •   Virginia Kiryakova, Sofia, Bulgaria
•    Davide Guidetti, Bologna, Italy      •   Hans-Bernd Knoop, Duisburg,
•    Osamu Hatori, Tokyo, Japan                 Germany
•    Heilmann Margareta, Wuppertal,       •   M. Ljubisa Kocic, Nis, Yugoslavia
       Germany                            •   Victor Kolyada, Karkstad, Sweden
•    Thomas Hempfling, Basel,             •   Pawel Kolwicz, Poznan, Poland
       Switzerland                        •   D. Kolzow, Erlangen, Germany
•    Tamás Hermann, Budapest,             •   Heinz König, Saarbrüchen, Germany
       Hungary                            •   Tengis Kopaliani, Tbilisi, Georgia
•    Aicke Hinrichs, Jena, Germany        •   Vera Korovkina, Kaluga, Russia
•    Sidi Lafdal Hamad, Maarif,           •   Kálmán Kovács, Budapest, Hungary
       Morocco                            •   Andras Kroò, Budapest, Hungary
•    Ivana Horova, Brno, Czech            •   Yuriy Krvavych, Kyiv, Ukraine
       Republic                           •   Andrzej Kryczka, Lublin, Poland
•    Agota Horváth, Budapest, Hungary

82
• David Giyani Kubayi,                 • Antonio Jesús López Moreno, Jaén,
    Johannesbourg, South Africa           Spain
• Thomas Kühn, Leipzig, Germany        • Ginés López Pérez, Granada, Spain
• Arno Kuijlaars, Heverlee, Belgium    • Doron Shaul Lubinsky,
• Denka N. Kutzarova, Sofia,              Johannesbourg, Republic of South
    Bulgaria                              Africa
• Kil H. Kwon, Taejon, Korea           • Mbaro-Saman Lubuma, Trieste,
• Lev G. Labsker, Moscow, Russia          Italy
• Miguel Lacruz, Sevilla, Spain        • Gunther Lumer, Mons, Belgium
• Alberto Lanconelli, Bari, Italy      • F. Luquin, Bilbao, Spain
• Enrico Laeng, Milano, Italy          • Uwe Luther, Chemnitz, Germany
• Massimo Lanza de Cristoforis,        • Detlef-Hauke Mache, Dortmund -
    Padova, Italy                          Germany
• Flavia Lanzara, Roma, Italy          • Georgii Magaril-Il'yaev, Moscow,
• Sergei Lapin, Kaluga, Russia             Russia
• Yamina Laskri, Annaba, Algeria       • Dorothy Maharam Stone, Boston,
• Rupert Lasser, Munich, Germany           U.S.A.
• Yuri Latushkin, Columbia, USA        • Vitaly Maiorov, Haifa, Israel
• Dirk Laurie, Vanderbijlpark, South   • Eberhard Malkowsky, Niş, Serbia
    Africa                             • Lech Maligranda, Luleå, Sweden
• Concetta Laurita, Potenza, Italy     • George Maltese, Middletown,
• Kjeld B. Laursen, Copenhagen,            U.S.A.
    Denmark                            • Elisabetta Maluta, Milano, Italy
• Margit Lénárd, Safat, Kuwait         • Jamal Mamedkhanov, Baku,
• Włodzimierz Łenski, Zielona Gora,        Azerbaijan
    Poland                             • Elisabetta Mangino, Lecce, Italy
• Vita Leonessa, Potenza, Italy        • Jasbir Singh Manhas, Alkhod,
• Sandro Levi, Milano, Italy               Muscat Oman
• Dany Leviatan, Tel-Aviv, Israel      • Salvatore Angelo Marano, Catania,
• Stanislaw Lewanowicz, Wroclaw,           Italy
    Poland                             • Francisco Marcellan, Madrid, Spain
• Grzegorz Lewicki, Kraków, Poland     • Elena Marchetti, Milano, Italy
• Wilmos Light, Lancaster, England     • Giuseppe Marino, Cosenza, Italy
• Balmoran Limaye, Bombay, India       • T. Marino, Palermo, Italy
• Lenore Lindeboom, Pretoria, South    • Paolo Maroscia, Roma, Italy
    Africa                             • Miguel Martin, Granada, Spain
• Mikael Lindstrôm, Åbo, Finland       • Josep Martinez Centelles, Valencia,
• Benedetta Lisena, Bari, Italy            Spain
• M. L. Locascio, Roma, Italy          • Pietro Marzulli, Pisa, Italy
• Marinella Lombardi, Bologna, Italy   • Helena Mascarenhas, Lisboa,
• Genaro Lopez Acedo, Sevilla, Spain       Portugal
• Francisca Lopez Molina, Jaén,        • Hopolang Phillip Mashele,
   Spain                                   Welkom, South Africa
• Juan Antonio Lopez Molina,           • Giuseppe Mastroianni, Potenza,
   Valencia, Spain                         Italy

                                                                          83
• Nicola Mastronardi, Potenza, Italy   • Paul Nevai, Ohio, U.S.A.
• Daniel Mmushi Matjila, Sovenga,      • Toshihiko Nishishiraho, Okinawa,
    Republic of South Africa               Japan
• Katsuo Matsuoka, Tokyo, Japan        • Alfred Nnadozie, Trento, Italy
• Kirsti Mattila, Stockholm, Sweden    • Incoronata Notarangelo, Potenza,
• Fernando Mayoral , Sevilla, Spain        Italy
• Jose M. Mazon, Valencia, Spain       • Kourosh Nourouzi, Toosi, Iran
• Giusy Mazzone, Lecce, Italy          • Marian Nowak, Zielona Gora,
• Mostafa Mbekhta, Lille, France           Poland
• Irina Melnikova, Ekaterinburg,       • Olav Nygaard, Kristiansand,
    Russia                                 Norway
• Victor Mergel, Kyiv, Ukraine         • Enrico Obrecht, Bologna, Italy
• Giorgio Metafune, Lecce, Italy       • Donatella Occorsio, Potenza, Italy
• Hrushikesh N. Mhaskar, Los           • Mario Rosario Occorsio, Napoli,
    Angeles, U.S.A.                        Italy
• Carsten Michels, Oldenburg,          • Pierpaolo Omari, Trieste, Italy
    Germany                            • Marta Omero, Trieste Italy
• Maria Letizia Michelucci, Palermo,   • Cihan Orhan, Ankara, Tutkey
    Italy                              • Boris Osilenker, Moscow, Russia
• Sabina Milella, Bari, Italy          • Konstantin Osipenko, Moscow,
• Len Miller, Mississippi, U.S.A.          Russia
• Gradimir Milovanović, Novi           • Sofiya Ostrovska, Ankara, Turkey
    Beograd, Serbia                    • Lourdes Palacios, Col. Vicentina,
• Shizuo Miyajima, Tokyo, Japan            Mexico
• Giovanni Monegato, Torino, Italy     • Annamaria Palamara Orsi, Torino,
• Alfonso Montes Rodriguez, Sevilla,       Italy
    Spain                              • Diego Pallara, Lecce, Italy
• Oxana Motorna, Kyiv, Ukraine         • Radu Paltanea, Brasow, Romania
• Luigi Muglia, Cosenza, Italy         • Gavril Paltineanu, Bucharest,
• Giuseppe Muni, Bari, Italy               Romania
• Francisco Javier Muñoz Delgado,      • Michael Pannenberg, Münster,
    Jaén, Spain                            Germany
• Graziana Musceo, Bari, Italy         • Anna Paolucci, Leeds, England
• Costica Mustâta, Cluj-Napoca,        • Pier Luigi Papini, Bologna, Italy
    Romania                            • Lionello Pasquini, L'aquila - Italy
• Józef Myjak, L’Aquila, Italy         • Pietro Pastore, Potenza, Italy
• Givi Nadibaidze, Tbilisi, Georgia    • Atul Pathak, Ujjain, India
• Rainer Nagel, Tübingen, Germany      • Riccardo Pavani, Milano, Italy
• Béla Nagy, Szeged, Hungary           • Liliana Pavel, Bucharest, Romania
• Károly Nagy, Nyiregyhaza, Hungary    • Henrik Laurberg Pedersen,
• Anna Napoli, Cosenza, Italy              Copenhagen, Denmark
• Francisco Naranjo, Sevilla, Spain    • Franz Peherstorfer, Linz, Austria
• Lawrence Narici, New York, U.S.A.    • Radoslawa Pempera, Zielona Gora,
• Michael M. Neumann, Mississippi,         Poland
    U.S.A.                             • Carla Perazzoli, Tübingen, Germany

84
• Teresa E. Pérez Fernandez,               • A. Sri Ranga, São José do Rio Preto,
    Granada, Spain                             Brazil
• Ana Pérez-Palomares, Zaragoza,           • Geetha S. Rao, Madras, India
    Spain                                  • Ioan Raşa, Cluj-Napoca, Romania
• Alfredo Peris, Valencia, Spain           • Andreas Rathsfeld, Chemnitz,
• Lars-Erik Persson, Luleå, Sweden             Germany
• Celina Pestano Gabino, La Laguna,        • Faouzia Rebbani, Annaba, Algeria
    Spain                                  • Ryszard Rebowski, Wroclaw,
• Knut Petras, Braunschweig,                   Poland
    Germany                                • Lothar Reichel, Kent, U.S.A.
• George Phillips, Crail, Fife, Scotland   • Sara Remogna, Torino, Italy
• Łukasz Piasecki, Lublin, Poland          • Hermann Render, Duisburg,
• Paolamaria Pietramala, Cosenza,              Germany
    Italy                                  • Szilárd Révész, Budapest, Hungary
• Gonzales Miguel Pinar, Granada,          • Maria Luisa Rezola, Zaragoza,
    Spain                                      Spain
• Miguel A. Piñar, Granada, Spain          • Paolo Emilio Ricci, Roma, Italy
• Allan Pinkus, Haifa, Israel              • Giuseppa Riccobono, Palermo, Italy
• Mariusz Piotrowski, Jena, Germany        • Christian Richter, Jena, Germany
• Sergey Piskarev, Moskov, Russia          • Maria José Rivera, Valencia, Spain
• G. Pittaluga, Torino, Italy              • Lucia Rodonò, Palermo, Italy
• A. Plans, Zaragoza, Spain                • Giuseppe Rodriguez, Cagliari, Italy
• A. Plicko, L'vov, Russia                 • Carl H. Rohwer, Matieland, South
• Fernando Plo, Zaragoza, Spain                Africa
• Nicolae Popa, Bucharest, Romania         • Silvia Romanelli, Bari, Italy
• Vasil Popov, Sofia, Bulgaria             • Marco Romito, Bari, Italy
• Vasile Postolica, Piatra Neamt,          • Ilse Röntgen, Potchefstroom, South
    Romania                                    Africa
• Stanislav Potapenko, Waterloo,           • Karla Rost, Chemnitz, Germany
    Canada                                 • Walter Roth, Bahrain, State of
• Alexander Potrykus, Wales, United            Bahrain
    Kingdom                                • Delfina Roux, Milano, Italy
• Daniel Potts, Chemnitz, Germany          • Maria Sueli Marconi Roversi,
• Jürgen Prestin, Rostock, Germany             Campinas, Brazil
• Vasiliy Prokhorov, Alabama, U.S.A.       • Pilar Rueda, Burjassot, Spain
• Joáo Bosco Prolla, Campinas, Brazil      • Elvira Russo, Salerno, Italy
• Siegfried Prössdorf, Berlin,             • Maria Grazia Russo, Potenza, Italy
    Germany                                • Gabriella Sabino, Potenza, Italy
• Stanislaw Prus, Lublin, Poland           • Paul Sablonnière, Rennex Cedex,
• Evgeniy Pustylnik, Haifa, Israel             France
• Vlastimil Ptak, Praha, Czech             • Luisa Sacripante, Torino, Italy
    Republic                               • Edward Saff, Tampa, U.S.A.
• Cristina Radu, Cluj-Napoca,              • Sandra Saliani, Potenza, Italy
    Romania                                • Samarah Salti, Irbid, Jordan
                                           • Natasha Samko, Faro, Portugal

                                                                               85
• Joaquin F. Sánchez-Lara, Almeria,     • Mariella Violeta Sotelo-Campos,
    Spain                                   Santander, Spain
• Carmen Sangüesa, Zaragoza, Spain      • Herbert Stahl, Berlin, Germany
• E. Santi, L’Aquila, Italy             • D. Dimitrie Stancu, Cluj-Napoca,
• Terenzio Scapolla, Pavia, Italy           Romania
• Wilhelm Schappacher, Graz,            • Felicia Stancu, Cluj-Napoca,
    Austria                                 Romania
• Gideon Schechtman, Rehovot, Israel    • Marija Stanić, Kragujevac, Serbia
• Scheffold Egon, Darmstadt,            • Robert Steinbauer, Linz, Austria
    Germany                             • Irmtraud Stephani, Jena, Germany
• Walter Schempp, Siegen - Germany      • Mirjana Stojanovic, Novi Sad,
• Georg Schlüchtermann, München,            Serbia
    Germany                             • Alexander Stokolos, Chicago,
• Maren Schmalmack, Hannover,               U.S.A.
    Germany                             • Arthur H. Stone, Boston, U.S.A.
• J. Schmets, Liège, Belgien            • Anton Stroh, Pretoria, Republic of
• Dominik Schmid, Neuherberg,               South Africa
    Germany                             • Carmen Suarez Rodriguez, Vigo,
• Ulrich Schmid, Mohringen,                 Spain
    Germany                             • Johan Swart, Pretoria, Republic of
• Gunther Schmidt, Berlin, Germany          South Africa
• K. Schmidt, Mannheim, Germany         • József Szabados, Budapest,
• Jan Schneider, Jena, Germany              Hungary
• Letizia Scuderi, Torino, Italy        • Sándor Szabó, Budapest, Hungary
• Sebastiano Seatzu, Napoli, Italy      • Franciszek Hugon Szafraniec,
• Karim Seddighi, Shiraz, Iran              Krakow, Poland
• Markus Seidel, Chemnitz, Germany      • Bogdan Szal, Zielona Gora, Poland
• Fowzi Sejeeni, Makka, Saudi Arabia    • Istvan Szalkai, Veszprem, Hungary
• Stefano Serra Capizzano, Firenze,     • Mariusz Szczepanik, Lublin, Poland
    Italy                               • Cristian Tacelli, Lecce, Italy
• Sushil Sharma, Ujjain, India          • Kazuaki Taira, Hiroshima, Japan
• Sen-Yen Shaw, Chung-li, Taiwan        • Sin-Ei Takahasi, Yonezawa, Japan
• Igor Shevchuk, Kyiv, Ucraine          • Fukiko Takeo, Tokyo, Japan
• Senjo Shimizu, Hamamatsu, Japan       • Marianna Tavernise, Cosenza, Italy
• Carlos Signoret, Iztapalapa, Mexico   • Helmi Temimi, Kuwait, Kuwait
• Bernd Silbermann, Chemnitz,           • Paolo Terenzi, Milano, Italy
    Germany                             • Woula Themistoclakis, Napoli, Italy
• Mehrdad Simkani, Flint, U.S.A.        • Julian Toledo, Valencia, Spain
• Marilda Simoes, Roma, Italy           • Rodolfo Toledo, Nyíregyháza,
• Alba Chiara Simoncelli, Napoli,           Hungary
    Italy                               • Ferenc Tookos, Neuherberg,
• Eugenio Sinestrari, Roma, Italy           Germany
• Sankatha Singh, St. John’s, Canada    • Silvia Totaro, Firenze, Italy
• Michael-Ralf Skrzipek, Hagen,         • Vilmos Totik, Szeged, Hungary
    Germany                             • Maria Transirico, Salerno, Italy

86
• Camillo Trapani, Palermo, Italy      •   Dietmar Vogt, Wuppertal, Germany
• Donato Trigiante, Firenze, Italy     •   Florica Voicu, Bucharest, Romania
• Radu Tiberiu Trimbitas, Cluj-        •   Mihai Voicu, Bucharest, Romania
    Napoca, Romania                    •   Aljosa Volcic, Trieste, Italy
• Salvatore Triolo, Palermo, Italy     •   Rosanna Volpe, Cosenza, Italy
• Alessandro Trombetta, Cosenza,       •   Dan Tudor Vuza, Bucharest,
    Italy                                    Romania
• Giulio Trombetta, Cosenza, Italy     •   Jan Vybiral, Jena, Germany
• Francesco Tschinke, Palermo, Italy   •   Shayne Waldron, Haifa, Israel
• Oleg P. Tumanov, Moscow, Russia      •   H. Watanabe, Tokyo, Japan
• Alexey Uglanov, Saint-Petersburg,    •   Hans Weber, Potenza, Italy
    Russia                             •   Lutz Weis, Karlsruhe, Germany
• Ikram Ullah, Peshawar, Pakistan      •   Jochen Wengenroth, Trier,
• Manuel Valdivia, Valencia, Spain           Germany
• Van Assche Walter, Leuven,           •   Ursula Westphal, Hannover,
    Belgium                                  Germany
• Joris van Deun, Heverlee, Belgium    •   Andrzej Wisnicki, Lublin, Poland
• K. Varma, Florida, U.S.A.            •   Witold Wnuk, Poznan, Poland
• Rouslan K. Vasiliev, Moskov,         •   Adam Piotr Wójcik, Kraków,
    Russia                                   Poland
• Stanislav Vasilyev, Ekaterinburg,    •   Daria Wojtowicz, Poznan, Poland
    Russia                             •   Yuan Xu, Oregon, U.S.A.
• A. Vecchio, Napoli, Italy            •   Taher Yazdanpanah, Boushehr,
• Alberto Venni, Bologna, Italy              Iran
• Lucas M. Venter, Potchefstroom,      •   David Yost, Lyon, France
    Republic of South Africa           •   J. Zafarani, Isfahan, Iran
• Ezio Venturino, Catania, Italy       •   Anastasia Zakharova, Moscow,
• J. Verna Felolo, Roma, Italy               Russia
• Peter Vertesi, Budapest, Hungary     •   Clemente Zanco, Milan, Italy
• Libor Vesely, Milano, Italy          •   Ahmed Zayed, Chicago, U.S.A.
• Vincenzo Vespri, Firenze, Italy      •   Wieslaw Zelazko, Warszawa, Poland
• Pasquale Vetro, Palermo, Italy       •   Xinlong Zhou, Duisburg, Germany
• Marco Vianello, Padova, Italy        •   Zvi Ziegler, Haifa, Israel
• Calogero Vinti, Perugia, Italy       •   Giovanni Zilli, Padova, Italy
• Gianluca Vinti, Perugia, Italy       •   Miroslawa Zima, Rzeszow, Poland
• Tiberiu Vladislav, Bucharest,        •   Laszlo Zsido, Roma, Italy
    Romania




                                                                         87