Overview
Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge (MATHE2, volume 50)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
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
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 1970
Hardcover ISBN: 978-3-540-04808-4Published: 01 January 1970
eBook ISBN: 978-3-662-59158-1Published: 10 June 2019
Edition Number: 1
Number of Pages: VIII, 172
Topics: Mathematics, general