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# Trigonometric Series

3rd Edition

## $126.00 (P) • Date Published: February 2003 • availability: Available • format: Paperback • isbn: 9780521890533 ##$126.00 (P) Paperback

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• Professor Zygmund's Trigonometric Series, first published in Warsaw in 1935, established itself as a classic. It presented a concise account of the main results then known, but on a scale that limited the amount of detailed discussion possible. A greatly enlarged second edition (Cambridge, 1959) published in two volumes took full account of developments in trigonometric series, Fourier series, and related branches of pure mathematics since the publication of the original edition. These two volumes, bound together with a foreword from Robert Fefferman, outline the significance of this text. Volume I, containing the completely re-written material of the original work, deals with trigonometric series and Fourier series. Volume II provides much material previously unpublished in book form.

• Features foreword by Robert Fefferman
• Both volumes of definitive text on trigonometric series bound as one
• Extensive references and index make this ideal for self study
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## Reviews & endorsements

'... much material previously unpublished in book form.' Zentralblatt MATH

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## Product details

• Edition: 3rd Edition
• Date Published: February 2003
• format: Paperback
• isbn: 9780521890533
• length: 784 pages
• dimensions: 226 x 150 x 48 mm
• weight: 1.02kg
• availability: Available
• ## Table of Contents

Part I:
1. Trigonometric series and Fourier series, auxilliary results
2. Fourier coefficients, elementary theorems on the convergence of S[f] and \tilde{S}[f]
3. Summability of Fourier series
4. Classes of functions and Fourier series
5. Special trigonometric series
6. The absolute convergence of trigonometric series
7. Complex methods in Fourier series
8. Divergence of Fourier series
9. Riemann's theory of trigonometric series
Part II:
10. Trigonometric interpolation
11. Differentiation of series, generalised derivatives
12. Interpolation of linear operations, more about Fourier coefficients
13. Convergence and summability almost everywhere
14. More about complex methods
15. Applications of the Littlewood-Paley function to Fourier series
16. Fourier integrals
17. A topic in multiple Fourier series.

A. Zygmund

## Foreword

Robert Fefferman, University of Chicago

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