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.Contents: My Academic Life (D Waterman) Reminiscences (L Lardy & J Troutman) On Concentrating Idempotents, A Survey (J M Ash) Variants of a Selection Principle for Sequences of Regulated and Non-regulated Functions (V V Chistyakov et al.) Local Lp Inequalities for Gegenbauer Polynomials (L De Carli) General Monotone Sequences and Convergence of Trigonometric Series (M Dyachenko & S Tikhonov) Using Integrals of Squares of Certain Real-Valued Special Functions to Prove that the Polya (z) Function, the Functions Kiz (a), a > 0, and Some Other Entire Functions Having Only Real Zeros (G Gasper) Functions Whose Moments Form a Geometric Progression (M E H Ismail & X Li) Characterization of Scaling Functions in a Frame Multiresolution Analysis in H2G (K S Kazarian & A San Antolin) An Abstract Coifman Rochberg Weiss Commutator Theorem (J Martin & M Milman) Convergence of Greedy Approximation with Regard to the Trigonometric System (V Temlyakov) Functions of Bounded -Variation (F Prus Wi niowski) Readership: Graduate students and researchers in classical analysis, differential equations, harmonic analysis, analytic number theory, combinatorics, approximation theory and applications.

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9781299671478

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