On a Characterization of the Haar Distribution on Compact Abelian Groups

被引：0

作者：

Mazur, I. P. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkov, Ukraine

来源：

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2014年 / 10卷 / 01期

关键词：

compact Abelian group; linear form; INDEPENDENT LINEAR STATISTICS; SKITOVICH-DARMOIS THEOREM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a theorem which characterizes the Haar distribution on a compact Abelian group by the independence of n linear forms of n independent random variables. The coefficients of the forms are continuous endomorphisms of the group.

引用

页码：126 / 133

页数：8

共 15 条

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