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Zygmund, Antoni, 1900-1992

Trigonometric series / A. Zygmund - 3rd ed. / volumes I & II combined, with a foreword by Robert Fefferman - xiii, 383, vii, 364 pages ; 23 cm - Cambridge mathematical library . - Cambridge mathematical library. .

Cover title

Includes bibliographical references (pages 336-351 (2nd set)) and index

Trigonometric series and Fourier series; Auxiliary results -- Fourier coefficients; Elementary theorems on the convergence of S[f] and ̃S[f] -- Summability of Fourier series -- Classes of functions and Fourier series -- Special trigonometric series -- The absolute convergence of trigonometric series -- Complex methods in Fourier series -- Divergence of Fourier series -- Riemann's theory of trigonometric series -- Trigonometric interpolation -- Differentiation of series; Generalized derivatives -- Interpolation of linear operations; More about Fourier coefficients -- Convergence and summability almost everywhere -- More about complex methods -- Applications of the Littlewood-Paley function to Fourier series -- Fourier integrals -- A topic in multiple Fourier series Section 1: -- I. II. III. IV. V. VI. VII. VIII. IX. Section 2: -- X. XI. XII. XIII. XIV. XV. XVI. XVII.

ISBN: 0521890535 9780521890533

LCCN: 2002067363

Subjects--Topical Terms:
Fourier series

LC Class. No.: QA404 / .Z9 2002