A RADEMACHER SERIES CONVERGENT TO EACH REAL-VALUED FUNCTION CONTINUOUS OVER (0, 1) ON CERTAIN DENSE SUBSETS OF (0, 1)

被引：0

作者：

Tetunashvili, Shakro ^{[1
,2
]}

Tetunashvili, Tengiz ^{[1
,3
]}

机构：

[1] Georgian Tech Univ, Dept Math, 77 Kostava Str, Tbilisi 0171, Georgia

[2] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 2 Merab Aleksidze IILane, Tbilisi 0193, Georgia

[3] I Vekua Inst Appl Math, 2 Univ Str, Tbilisi 0186, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2023年 / 177卷 / 02期

关键词：

Rademacher series; Universal series; Dense set;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, the theorems implying the existence of a Rademacher series, convergent to each real-valued function, piecewise continuous over (0, 1) on certain dense subsets of (0, 1), are announced. The set of all Rademacher series with the above-mentioned property is fully described. Among the elements of this set are both almost everywhere convergent and almost everywhere divergent Rademacher series.

引用

页码：327 / 329

页数：3