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An Introduction to Harmonic Analysis

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An Introduction to Harmonic Analysis Cover

 

Synopses & Reviews

Publisher 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.

Synopsis:

A reissue of a classic text on a central topic.

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.

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.

Product Details

ISBN:
9780521838290
Author:
Katznelson, Yitzhak
Publisher:
Cambridge University Press
Author:
Yitzhak, Katznelson
Location:
Cambridge
Subject:
Probability
Subject:
Infinity
Subject:
Harmonic analysis
Subject:
Mathematics - General
Edition Number:
3
Edition Description:
Revised
Series:
Cambridge Mathematical Library
Publication Date:
20040131
Binding:
Paperback
Grade Level:
Professional and scholarly
Language:
English
Pages:
336
Dimensions:
6.00x9.00x.88 in. 1.46 lbs.

Related Subjects

Languages » ESL » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

An Introduction to Harmonic Analysis New Hardcover
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Product details 336 pages Cambridge University Press - English 9780521838290 Reviews:
"Synopsis" by , A reissue of a classic text on a central topic.
"Synopsis" by , 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.
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