Harmonic functions on topological groups and symmetric spaces

被引：7
|
作者：
Chu, Cho-Ho [1 ]
Lau, Anthony To-Ming [2 ]
机构：
[1] Univ London, Sch Math Sci, London E1 4NS, England
[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
MATHEMATISCHE ZEITSCHRIFT | 2011年 / 268卷 / 3-4期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Harmonic function; Metric group; Amenable semigroup; Symmetric space; CONVOLUTION EQUATION; INVARIANT-MEANS; RADON MEASURES; MANIFOLDS; CHOQUET;
D O I：
10.1007/s00209-010-0688-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a metric group, not necessarily locally compact, acting on a metric space X, for instance, a right coset space of G. We introduce and develop a basic structure theory for harmonic functions on X which is applicable to infinite dimensional Riemannian symmetric spaces.
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页码：649 / 673
页数：25
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