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.
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页码：27 / 53
页数：27
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