On changes of variable that preserve convergence and absolute convergence of Fourier-Haar series

被引：2
作者：
Bitsadze, K. R. [1 ]
机构：
[1] Ivane Javakhishvili Tbilisi State Univ, Tbilisi, Georgia
来源：
SBORNIK MATHEMATICS | 2019年 / 210卷 / 06期
关键词：
Fourier-Haar series; changes of variable;
D O I：
10.1070/SM9033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is established that among all the differentiable homeomorphic changes of variable only the functions phi(1) (x) = x and phi(2) (x) = 1 - x for x is an element of [0, 1] preserve convergence everywhere of the Fourier-Haar series. The same is true for absolute convergence everywhere.
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页码：783 / 808
页数：26
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