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An Introduction to Harmonic Analysis

3rd Edition

$50.00

Part of Cambridge Mathematical Library

  • Date Published: January 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521543590

$50.00
Paperback

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About the Authors
  • 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.

    • The book received the AMS Steele Prize for Mathematical Exposition
    • Classic text, a favorite of students and experts alike
    • Demonstrates the central ideas of harmonic analysis in a concrete setting, and provides a stock of examples to foster a clear understanding of the theory
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    Reviews & endorsements

    "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

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    Product details

    • Edition: 3rd Edition
    • Date Published: January 2004
    • format: Paperback
    • isbn: 9780521543590
    • length: 336 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.5kg
    • availability: Available
  • 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.

  • Author

    Yitzhak Katznelson, Stanford University, California
    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

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