Absolute convergence of multiple series with respect to multiplicative systems

被引：2

作者：

Volosivets, S. S. ^{[1
]}

Golubov, B. I. ^{[1
]}

机构：

[1] NG Chernyshevsky Saratov State Univ, Mech Math Fac, Saratov 410028, Russia

来源：

ANALYSIS MATHEMATICA | 2010年 / 36卷 / 02期

关键词：

D O I：

10.1007/s10476-010-0205-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Certain sufficient conditions are obtained for the absolute convergence of multiple Fourier-Vilenkin series. The authors prove that the generalized condition of Bernstein and Steckin as well as certain other conditions are unimprovable in the usual sense.

引用

页码：155 / 172

页数：18

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