An Introduction to Harmonic Analysis

by Yitzhak Katznelson

Overview

Awarded the American Mathematical Society Steele Prize for Mathematical Exposition, this Introduction, first published in 1968, has firmly established itself as a classic text. Yitzhak Katznelson demonstrates the central ideas of harmonic analysis and provides a stock of examples to foster a clear understanding of the theory. This new edition has been revised to include several new sections and a new appendix.

Product Details

ISBN-13:	9780521838290
Publisher:	Cambridge University Press
Publication date:	01/12/2004
Series:	Cambridge Mathematical Library
Edition description:	Revised
Pages:	336
Product dimensions:	5.98(w) x 9.02(h) x 0.87(d)

About the Author

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 dyamics

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.

Editorial Reviews

"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

From the Publisher