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TOPICS IN CLASSICAL ANALYSIS AND APPLICATIONS IN HONOR OF DANIEL WATERMAN
edited by Laura De Carli (Florida International University, USA), Kazaros Kazarian (Madrid Autonomous University, Spain) & Mario Milman (Florida Atlantic University, USA)
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)
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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 Pólya Ξ*(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 Antolín)
- 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 Λ-Variation (F Prus–Wiśniowski)
Readership: Graduate students and researchers in classical analysis,
differential equations, harmonic analysis, analytic number theory, combinatorics, approximation theory and applications.
| 204pp |
Pub. date: Oct 2008 |
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