Trigonometric series / A. Zygmund

Yazar:

Zygmund, Antoni, 1900-1992

Katkıda bulunan(lar):

Cambridge University Press

Seri kaydı: Cambridge mathematical libraryYayıncı: [Cambridge, UK ; New York : Cambridge University Press, [2002]Telif hakkı tarihi:©2002Baskı: 3rd ed. / volumes I & II combined, with a foreword by Robert FeffermanTanım: xiii, 383, vii, 364 pages ; 23 cmİçerik türü:

text

Ortam türü:

unmediated

Taşıyıcı türü:

volume

ISBN:

0521890535
9780521890533

Konu(lar):

Fourier series

LOC sınıflandırması:

QA404 .Z9 2002

İçindekiler:

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

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