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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.Read more
- 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
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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- 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: Manufactured on demand: supplied direct from the printer
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.
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