On Bohr's theorem for multiple Fourier series

被引：0

作者：

Saakyan, AA

机构：

[1] National Academy of Sciences of Armenia,Mathematics Institute

来源：

MATHEMATICAL NOTES | 1998年 / 64卷 / 5-6期

关键词：

multiple Fourier series; uniform convergence; Bohr's theorem; Pringsheim convergence; Salem's test;

D O I：

10.1007/BF02313037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of Pringsheim uniform convergence of multiple Fourier series in the trigonometric system is considered. A multidimensional analog of Bohr's theorem on the uniform convergence of the Fourier series of a continuous function after a homeomorphic change of variable is proved.

引用

页码：787 / 797

页数：11