On the divergence of double Fourier-Walsh-Paley series of continuous functions

被引：3
作者：
Getsadze, Rostom [1 ]
机构：
[1] Uppsala Univ, Dept Math, Box 480, S-75106 Uppsala, Sweden
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2020年 / 86卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
Walsh-Paley; double Fourier series; divergence a.e; CONVERGENCE;
D O I：
10.14232/actasm-019-319-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that there exists a continuous function on [0, 1)(2), with a certain smoothness, whose double Fourier-Walsh-Paley series diverges by rectangles on a set of positive measure.
引用
收藏
页码：287 / 302
页数：16
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