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© 1970

Séries de Fourier absolument convergentes

Book

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge book series (MATHE2, volume 50)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Jean-Pierre Kahane
    Pages 1-2
  3. Jean-Pierre Kahane
    Pages 3-8
  4. Jean-Pierre Kahane
    Pages 9-26
  5. Jean-Pierre Kahane
    Pages 27-43
  6. Jean-Pierre Kahane
    Pages 88-101
  7. Jean-Pierre Kahane
    Pages 102-115
  8. Jean-Pierre Kahane
    Pages 116-126
  9. Jean-Pierre Kahane
    Pages 127-140
  10. Jean-Pierre Kahane
    Pages 141-151
  11. Back Matter
    Pages 153-171

About this book

Introduction

From the reviews (Zentrallblatt MATH):

"This book surveys an important and rapidly growing area of harmonic analysis, the theory of the algebra A(T) of functions f on the group T with absolutely convergent Fourier series. It includes chapters about Fourier series of continuous functions, descriptive theory, pseudomeasures and classes A(E), closed ideals, composed functions, thin sets and Baire methods, tensor algebras and applications, isomorphism of algebras A(E) and lacunary series. A striking feature of the book is its genuine classical flavor. The author is thoroughly at home with computations of many kinds, and every chapter has a wealth of specific examples and constructions. In sum, the book is an admirable survey of its topic. It is a highly interesting and useful work for Fourier analysists."

Keywords

Fourierreihe Series harmonic analysis descriptive theory tensor algebras

Authors and affiliations

  1. 1.Faculté des Sciences d’OrsayUniversité de ParisF-OrsayFrance

Bibliographic information

  • Book Title Séries de Fourier absolument convergentes
  • Authors Jean-Pierre Kahane
  • Series Title Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
  • DOI https://doi.org/10.1007/978-3-662-59158-1
  • Copyright Information Springer-Verlag GmbH Germany, part of Springer Nature 1970
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-540-04808-4
  • eBook ISBN 978-3-662-59158-1
  • Edition Number 1
  • Number of Pages VIII, 172
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Mathematics, general
  • Buy this book on publisher's site
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