CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES

被引：7

作者：

Gupta, Sanjiv Kumar ^{[1
]}

Hare, Kathryn E. ^{[2
]}

机构：

[1] Sultan Qaboos Univ, Dept Math & Stat, Al Khoud 123, Oman

[2] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 79卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

compact symmetric space; double coset; absolutely continuous measure; HARMONIC-ANALYSIS; LIE-GROUPS;

D O I：

10.1017/S0004972709000148

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that in any compact symmetric space, G/K, there is a dense set of a(1), a(2) is an element of G Such that if mu(j) = m(K) * delta(aj) * m(k) is the K-bi-invariant measure supported on Ka(j)K, then mu(1) * mu(2) is absolutely continuous with respect to Haar measure on G. Moreover, the product of double cosets, Ka(1)Ka(2)K, has nonempty interior in G.

引用

页码：513 / 522

页数：10

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