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.
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页码：513 / 522
页数：10
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