Unconditional Convergence of Fourier Series for Functions of Bounded Variation

被引：7

作者：

Gogoladze, L. D. ^{[1
]}

Tsagareishvili, V. Sh. ^{[1
]}

机构：

[1] Tbilisi State Univ, Tbilisi, Georgia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 01期

关键词：

Fourier coefficients; function of finite variation; unconditional convergence; ABSOLUTE CONVERGENCE; RESPECT;

D O I：

10.1134/S0037446618010081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article concerns the unconditional convergence a.e. of Fourier series with respect to general orthonormal systems. We find certain conditions to be satisfied by the functions in the orthonormal system so that the Fourier series of each function of finite variation unconditionally converge a.e. The results are best possible.

引用

页码：65 / 72

页数：8

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