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This title in other editionsOther titles in the Cambridge Mathematical Library series:
An Introduction to Harmonic Analysis (Cambridge Mathematical Library)by Yitzhak Katznelson
Synopses & ReviewsPublisher Comments: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.
Book News Annotation:Katznelson (mathematics, Stanford U.) presents a textbook for graduate students who have already completed two quarters of the basic real-variable course. It is designed for a one-year course, but sections are marked that can be omitted for a slower moving or a shorter course. The first edition was published by Wiley in 1968, and the second by Dover in 1976.
Annotation ©2005 Book News, Inc., Portland, OR (booknews.com) Book News Annotation:Katznelson (mathematics, Stanford U.) presents a textbook for graduate students who have already completed two quarters of the basic real-variable course. It is designed for a one-year course, but sections are marked that can be omitted for a slower moving or a shorter course. The first edition was published by Wiley in 1968, and the second by Dover in 1976. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
Synopsis: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. This new edition has been revised by the author, to include several new sections and a new appendix.
Synopsis:A reissue of a classic text on a central topic.
About the AuthorYitzhak 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 Contents1. 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.
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