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Trigonometric series : [vol. 1 & 2 combined]

Author: Antoni Zygmund
Publisher: Cambridge : Cambridge University Press, 2005.
Series: Cambridge mathematical library
Edition/Format:  Print book : English : 3. ed., reprView all editions and formats
Summary:

The third edition of Professor Zygmund's classic Trigonometric Series, featuring a foreword by Robert Fefferman. Both volumes of the 1959 edition are bound as one. The rigorous treatment of this  Read more...

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Document Type: Book
All Authors / Contributors: Antoni Zygmund
ISBN: 0521890535 9780521890533
OCLC Number: 315414335
Notes: Enth. Bd. 1 und 2.
Description: Getr. Zählung.
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.
Series Title: Cambridge mathematical library
Responsibility: A. Zygmund ; with a foreword by Robert Fefferman.
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'... much material previously unpublished in book form.' Zentralblatt MATH

 
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