Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh-Kaczmarz System

被引：1

作者：

Polyakov, I. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2014年 / 95卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

Dirichlet kernel; Fourier series; Walsh-Kaczmarz system; Kaczmarz indexing; Lebesgue measure; Walsh function;

D O I：

10.1134/S0001434614010258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new lower bound for the growth of the Dirichlet kernel for the Walsh-Kaczmarz system is obtained and an example of an almost everywhere divergent Fourier series with respect to this system from a class narrower than that examined earlier is constructed.

引用

页码：232 / 244

页数：13

共 11 条

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