TY - BOOK AU - Zygmund,Antoni ED - Cambridge University Press. TI - Trigonometric series T2 - Cambridge mathematical library SN - 0521890535 AV - QA404 .Z9 2002 PY - 2002///] CY - [Cambridge, UK, New York PB - Cambridge University Press KW - Fourier series N1 - Cover title; Includes bibliographical references (pages 336-351 (2nd set)) and index; Section 1: --; I; Trigonometric series and Fourier series; Auxiliary results --; II; Fourier coefficients; Elementary theorems on the convergence of S[f] and ̃S[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 ER -