Trigonometric Series
Volumes I & II combined. With a foreword by Robert Ferrerman
(Sprache: Englisch)
Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.
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Produktinformationen zu „Trigonometric Series “
Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.
Klappentext zu „Trigonometric Series “
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 Volume II provides much material previously unpublished in book form.
Inhaltsverzeichnis zu „Trigonometric Series “
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.
Bibliographische Angaben
- Autor: A. Zygmund
- 3. Auflage, 784 Seiten, Maße: 15,2 x 22,9 cm, Kartoniert (TB), Englisch
- Verlag: Cambridge University Press
- ISBN-10: 0521890535
- ISBN-13: 9780521890533
- Erscheinungsdatum: 19.05.2011
Sprache:
Englisch
Rezension zu „Trigonometric Series “
'... much material previously unpublished in book form.' Zentralblatt MATH
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