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Topics in classical analysis and applications in honor of Daniel Waterman / editors, Laura De Carli, Kazaros Kazarian, Mario Milman.

Contributor(s): Material type: TextTextPublication details: Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2008.Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789812834447
  • 9812834443
Subject(s): Genre/Form: DDC classification:
  • 515 22
LOC classification:
  • QA300
Online resources:
Contents:
My academic life / D. Waterman -- Reminiscences / edited by L. Lardy [and others]. -- On concentrating idempotents, a survey / J. Marshall Ash -- Variants of a selection principle for sequences of regulated and non-regulated functions / V.V. Chistyakov, C. Maniscalco, Y.V. Tretyachenko -- Local L[symbol] 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 [symbol] function, the functions K[symbol](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 [symbol] / 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 [symbol]-variation / F. Prus-Wiśniowski.
Summary: 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.
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Includes bibliographical references and index.

My academic life / D. Waterman -- Reminiscences / edited by L. Lardy [and others]. -- On concentrating idempotents, a survey / J. Marshall Ash -- Variants of a selection principle for sequences of regulated and non-regulated functions / V.V. Chistyakov, C. Maniscalco, Y.V. Tretyachenko -- Local L[symbol] 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 [symbol] function, the functions K[symbol](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 [symbol] / 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 [symbol]-variation / F. Prus-Wiśniowski.

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.

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