THE MARATEA CONFERENCES ON FUNCTIONAL ANALYSIS AND APPROXIMATION THEORY
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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
10THURSDAY, 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
116.30 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
12Participants in the Maratea Conference TFAAT 1989 during a coffee break.
1314
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.
15Program 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
16B. 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
1718
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
19Program 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
20TUESDAY, 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
214:20 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
22THURSDAY, 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
236:10 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
244:00 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
25Opening 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.
26Index 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.
27Preface .......................................................................................................... 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
28G. 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
2930
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
31Program 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
325:20 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
3312:10 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
345:40 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
3512:10 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
366:20 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
374:00 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
38Participants in the Maratea Conference FAAT 1996 during a coffee break.
3940
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.
41VOLUME 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
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