Integral representation of invariant functions

被引：1

作者：

Hinssen, J ^{[1
]}

Janssen, K ^{[1
]}

机构：

[1] Univ Dusseldorf, Inst Math, D-40225 Dusseldorf, Germany

来源：

POTENTIAL ANALYSIS | 1999年 / 10卷 / 01期

关键词：

invariant functions; Choquet-type integral representation; extreme point; Choquet's theorem;

D O I：

10.1023/A:1008660100254

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize those positive functions which are invariant for a bounded kernel, and which have a Choquet-type integral representation. Such a representation relies on the wellknown Choquet-type integral representation of measures which are invariant for a kernel. We apply our results to convolution kernels with spread-out measures on second countable locally compact Abelian groups.

引用

页码：27 / 53

页数：27

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