On examples concerning integrability theorems for trigonometric series

Author: Belov Alexander S.  

Publisher: Springer Publishing Company

ISSN: 0133-3852

Source: Analysis Mathematica, Vol.30, Iss.2, 2004-01, pp. : 77-97

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Abstract

Examples of trigonometric series are constructed that are not Fourier series, with coefficients whose differences are majorized by an arbitrary sequence of numbers given in advance, which satisfies certain natural conditions.