Topics In Classical Analysis And Applications In Honor Of Daniel Waterman

by Laura De Carli (Editor), Kazaros Kazarian (Editor), Mario Milman (Editor)

Overview

This book covers a wide range of topics, from orthogonal polynomials to wavelets. It contains several high-quality research papers by prominent experts exploring trends in function theory, orthogonal polynomials, Fourier series, approximation theory, theory of wavelets and applications. The book provides an up-to-date presentation of several important topics in Classical and Modern Analysis. The interested reader will also be able to find stimulating open problems and suggestions for future research.

Product Details

ISBN-13:	9789812834430
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	10/10/2008
Pages:	204
Product dimensions:	6.80(w) x 9.90(h) x 0.70(d)

Table of Contents

Preface v

My Academic Life D. Waterman 1

Reminiscences L. Lardy J. Troutman L. D'Antonio G. T. Cargo Ph. T. Church D. Dezern G. Gasper P. Pierce E. Poletsky M. Schramm F. Prus-Wisniowski P. Schembari 19

On Concentrating Idempotents, A Survey J. Marshall Ash 31

Variants of a Selection Principle for Sequences of Regulated and Non-Regulated Functions V. V. Chistyakou C. Maniscalco Y. V. Tretyachenko 45

Local Lp Inequalities for Gegenbauer Polynomials L. De Carli 73

General Monotone Sequences and Convergence of Trigonometric Series M. Dyachenko S. Tikhonov 88

Using Integrals of Squares of Certain Real-Valued Special Functions to Prove that the Polya X*(z) Function, the Functions Kiz(a), a > 0, and Some Other Entire Functions Having Only Real Zeros G. Gasper 102

Functions Whose Moments Form a Geometric Progression M. E. H. Ismail X. Li 110

Characterization of Scaling Functions in a Frame Multiresolution Analysis in HG2 K. S. Kazarian A. San Antolin 118

An Abstract Coifman-Rochberg-Weiss Commutator Theorem J. Martin M. Milman 141

Convergence of Greedy Approximation with Regard to the Trigonometric System V. Temlyakov 161

Functions of Bounded L-Variation F. Prus-Wisniowski 173

Author Index 191