Functional Series Representable as a Sum of Two Universal Series

被引：1
|
作者：
Tetunashvili, Sh. [1 ,2 ]
机构：
[1] Tbilisi State Univ, Razmadze Math Inst, GE-0177 Tbilisi, Georgia
[2] Georgian Tech Univ, GE-0175 Tbilisi, Georgia
来源：
DOKLADY MATHEMATICS | 2017年 / 96卷 / 03期
关键词：
D O I：
10.1134/S106456241706014X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Series with respect to systems Phi = {phi(n) (x)}(n=1)(infinity) of measurable and almost everywhere finite functions are discussed. A necessary and sufficient condition for representing any series with respect to a system Phi as a sum of two universal series is formulated. A consequence of the condition is that any series with respect to an arbitrary complete and orthonormal system Phi is a sum of two universal series.
引用
收藏
页码：578 / 579
页数：2
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