Description

Book Synopsis

In the theory of convergence and summability whether for ordinary Fourier series or other expansions emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.



Table of Contents
*Frontmatter, pg. i*CONTENTS, pg. v*I. LOCALIZATION OF BEST APPROXIMATION, pg. 1*II. DIRICHLET PROBLEM FOR DOMAINS BOUNDED BY SPHERES, pg. 24*III. THE FRECHET VARIATION AND PRINGSHEIM CONVERGENCE OF DOUBLE FOURIER SERIES, pg. 46*IV. NORMS OF DISTRIBUTION FUNCTIONS ASSOCIATED WITH BILINEAR FUNCTIONALS, pg. 104*V. NOTE ON THE BOUNDARY VALUES OF FUNCTIONS OF SEVERAL COMPLEX VARIABLES, pg. 145*VI. ON THE THEOREM OF HAUSDORFF-YOUNG AND ITS EXTENSIONS, pg. 166

Contributions to Fourier Analysis

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    A Paperback / softback by Antoni Zygmund, W. Transue

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      Book details

      Publisher Princeton University Press
      Published 21 August 1950
      ISBN-13 9780691079301
      978-0691079301
      ISBN-10 0691079307
      Also in:
      Mathematics

      Description

      Book Synopsis

      In the theory of convergence and summability whether for ordinary Fourier series or other expansions emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.



      Table of Contents
      *Frontmatter, pg. i*CONTENTS, pg. v*I. LOCALIZATION OF BEST APPROXIMATION, pg. 1*II. DIRICHLET PROBLEM FOR DOMAINS BOUNDED BY SPHERES, pg. 24*III. THE FRECHET VARIATION AND PRINGSHEIM CONVERGENCE OF DOUBLE FOURIER SERIES, pg. 46*IV. NORMS OF DISTRIBUTION FUNCTIONS ASSOCIATED WITH BILINEAR FUNCTIONALS, pg. 104*V. NOTE ON THE BOUNDARY VALUES OF FUNCTIONS OF SEVERAL COMPLEX VARIABLES, pg. 145*VI. ON THE THEOREM OF HAUSDORFF-YOUNG AND ITS EXTENSIONS, pg. 166

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