Trigonometric series /

Publisher 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 sec...

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Bibliographic Details
Main Author: Zygmund, Antoni, 1900-1992
Format: Book
Language:English
Published: [Cambridge, UK] ; [New York] : [Cambridge University Press], [©2002]
Edition:3rd ed. /
Series:Cambridge mathematical library
Subjects:

MARC

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245 1 0 |a Trigonometric series /  |c A. Zygmund. 
250 |a 3rd ed. /  |b volumes I & II combined, with a foreword by Robert Fefferman. 
260 |a [Cambridge, UK] ;  |a [New York] :  |b [Cambridge University Press],  |c [©2002] 
300 |a xiii, 383, vii, 364 pages ;  |c 23 cm. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Cambridge mathematical library 
500 |a Cover title. 
504 |a Includes bibliographical references (pages 336-351 (2nd set)) and index. 
505 0 |a Section 1: -- I. Trigonometric series and Fourier series; Auxiliary results -- II. Fourier coefficients; Elementary theorems on the convergence of S[f] and S̃[f] -- III. Summability of Fourier series -- IV. Classes of functions and Fourier series -- V. Special trigonometric series -- VI. The absolute convergence of trigonometric series -- VII. Complex methods in Fourier series -- VIII. Divergence of Fourier series -- IX. Riemann's theory of trigonometric series -- Section 2: -- X. Trigonometric interpolation -- XI. Differentiation of series; Generalized derivatives -- XII. Interpolation of linear operations; More about Fourier coefficients -- XIII. Convergence and summability almost everywhere -- XIV. More about complex methods -- XV. Applications of the Littlewood-Paley function to Fourier series -- XVI. Fourier integrals -- XVII. A topic in multiple Fourier series. 
520 8 |a Publisher 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. 
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