Strong means and oscillation of multiple Fourier series in multiplicative systems

被引：1

作者：

Rodin, VA ^{[1
]}

机构：

[1] Minist Interior Russia, Higher Sch, Voronezh, Russia

来源：

MATHEMATICAL NOTES | 1998年 / 63卷 / 3-4期

关键词：

strong mean; series oscillation; multiple Fourier series; multiplicative system;

D O I：

10.1007/BF02311257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish a general assertion relating the oscillation of the sequence of rectangular partial sums of a multiple Fourier series in a multiplicative system to the strong summability of this series. The systems of group generators are assumed to be uniformly bounded. Earlier these assertions were obtained by the author for the Walsh and Chrestenson series.

引用

页码：533 / 541

页数：9