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Cambridge Mathematical Library : An Introduction to Harmonic Analysis - Yitzhak Katznelson

Cambridge Mathematical Library

An Introduction to Harmonic Analysis


Published: 14th July 2004
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First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.

'... the third, revised, edition ... Katznelson managed to improve on a seemingly perfect book!' Nieuw Archif voor Wiskunde
"Katznelson's An Introduction to Harmonic Analysis is, of course, a classic...So the first thing to say is 'thank you,' to Cambridge for doing this new edition, and to Prof. Katznelson for undertaking the task of updating his book...It is an ambitious book, moving all the way from Fourier series to Banach algebras and analysis on locally compact abelian groups. It is densely but clearly written, with the occasional flash of wit." MAA Reviews, Fernando Q. Gouvea

The convergence of Fourier series
The conjugate function
Interpolation of linear operators
Lacunary series and quasi-analytic classes
Fourier transforms on the line
Fourier analysis on locally compact Abelian groups
Commutative Banach algebras
Vector-valued functions
Probabilistic methods
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521543590
ISBN-10: 0521543592
Series: Cambridge Mathematical Library
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 336
Published: 14th July 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.5  x 2.1
Weight (kg): 0.45
Edition Number: 3
Edition Type: Revised