Some particular properties of general orthonormal systems

被引：5
|
作者：
Tsagareishvili, V. [1 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, Tbilisi, Georgia
来源：
PERIODICA MATHEMATICA HUNGARICA | 2020年 / 81卷 / 01期
关键词：
Fourier coefficients; Functions of bounded variation; Absolutely continuous functions; General orthonormal system;
D O I：
10.1007/s10998-020-00323-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with some particular properties of special series of Fourier coefficients of the class of functions with bounded variation with respect to general orthonormal systems (ONS). The obtained results demonstrate that the properties of the general ONS and of the classical ONSs (trigonometric, Haar, Walsh system) are different in some cases.
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页码：149 / 157
页数：9
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