An Introduction to Harmonic Analysis

An Introduction to Harmonic Analysis

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Description

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.show more

Product details

  • Online resource
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • English
  • Revised
  • 3rd Revised edition
  • 1139165372
  • 9781139165372

Review quote

'... the third, revised, edition ... Katznelson managed to improve on a seemingly perfect book!' Nieuw Archif voor Wiskundeshow more

About Yitzhak Katznelson

Yitzhak Katznelson received his Ph.D. from the University of Paris. He is currently a Professor of mathematics at Stanford University, and has also taught at University of C alifornia, Berkeley, Hebrew University andYale University. His mathematical interests include harmonic analysis, ergodic theory, and differentiable dyamicsshow more

Table of contents

1. Fourier series on T; 2. The convergence of Fourier series; 3. The conjugate function; 4. Interpolation of linear operators; 5. Lacunary series and quasi-analytic classes; 6. Fourier transforms on the line; 7. Fourier analysis on locally compact Abelian groups; 8. Commutative Banach algebras; A. Vector-valued functions; B. Probabilistic methods.show more

Rating details

6 ratings
4.33 out of 5 stars
5 50% (3)
4 33% (2)
3 17% (1)
2 0% (0)
1 0% (0)
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