Abstract measure algebras over homogeneous spaces of compact groups

被引：8
|
作者：
Farashahi, Arash Ghaani [1 ]
机构：
[1] Johns Hopkins Univ, Whiting Sch Engn, LCSR, Baltimore, MD 21218 USA
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2018年 / 29卷 / 01期
关键词：
Homogeneous space; compact group; measure algebra; convolution; involution; FOURIER-STIELTJES ALGEBRAS; SEMIDIRECT PRODUCT GROUPS; HARMONIC-ANALYSIS; RELATIVE CONVOLUTIONS; COMPLEX MEASURES; TRANSFORMS;
D O I：
10.1142/S0129167X18500052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a systematic study for abstract Banach measure algebras over homogeneous spaces of compact groups. Let H be a closed subgroup of a compact group G and G/H be the left coset space associated to the subgroup H in G. Also, let M(G/H) be the Banach measure space consists of all complex measures over G/H. Then we introduce the abstract notions of convolution and involution over the Banach measure space M(G/H).
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页数：34
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