Integral representation for exponentially bounded negative-definite functions on hypergroups

被引：0

作者：

Nasr-Isfahani, R ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math, Esfahan 84154, Iran

来源：

MATHEMATISCHE NACHRICHTEN | 2003年 / 256卷

关键词：

exponentially bounded; hypergroup; negative-definite function; positive linear functional;

D O I：

10.1002/mana.200310071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author has recently shown that a Bochner type theorem obtained by Bloom and Ressel for exponentially bounded positive-definite functions on second countable commutative hypergroups is valid for all commutative hypergroups X. Here an application of this result is made to give an integral representation for exponentially bounded negative-definite functions on X.

引用

页码：82 / 87

页数：6

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