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Trigonometric Series

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Trigonometric Series

Trigonometric Series

3rd Edition
A. Zygmund
Robert Fefferman, University of Chicago
February 2003
Paperback
9780521890533
$141.00
USD
Paperback
    Description

    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 was on a scale which limited the amount of detailed discussion possible. A greatly enlarged second edition published by Cambridge in two volumes in 1959 took full account of developments in trigonometric series, Fourier series and related branches of pure mathematics since the publication of the original edition. The two volumes are here bound together with a foreword from Robert Fefferman outlining the significance of this text. Volume I, containing the completely rewritten 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 Volume II provides much material previously unpublished in book form.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

    Reviews & endorsements

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 much material previously unpublished in book form.'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

    See more reviews

    Product details

    February 2003
    Paperback
    9780521890533
    784 pages
    226 × 150 × 48 mm
    1.02kg
    Available

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    Contents

    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.
      • Show more
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    Additional Information
    About the authors
      Author
    • A. Zygmund
    • Robert Fefferman , University of Chicago

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