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

共 50 条

[41] L P-distributions on symmetric spaces
Michael Ruzhansky
Results in Mathematics, 2003, 44 (1-2) : 159 - 168
[42] Exponential-Wrapped Distributions on Symmetric Spaces
Chevallier, Emmanuel
Li, Didong
Lu, Yulong
Dunson, David
SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 2022, 4 (04): : 1347 - 1368
[43] On quantum unique ergodicity for locally symmetric spaces
Silberman, Lior
Venkatesh, Akshay
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2007, 17 (03) : 960 - 998
[44] Generic irreducibilty of Laplace eigenspaces on certain compact Lie groups
Schueth, Dorothee
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2017, 52 (02) : 187 - 200
[45] Generic irreducibilty of Laplace eigenspaces on certain compact Lie groups
Dorothee Schueth
Annals of Global Analysis and Geometry, 2017, 52 : 187 - 200
[46] The Smoothness of Orbital Measures on Exceptional Lie Groups and Algebras
Hare, Kathryn
Skoufranis, Paul
JOURNAL OF LIE THEORY, 2011, 21 (04) : 987 - 1007
[47] Non-unitarity of the BKS transformation for symmetric spaces
Kaya, Oguzhan
JOURNAL OF GEOMETRY AND PHYSICS, 2020, 149
[48] Spectrum of the Laplacian and Riesz transform on locally symmetric spaces
Mandouvalos, Nikolaos
Marias, Michel
BULLETIN DES SCIENCES MATHEMATIQUES, 2009, 133 (02): : 134 - 144
[49] Curvature operators and generalizations of symmetric spaces in Lorentzian geometry
Calvino-Louzao, E.
Garcia-Rio, E.
Vazquez-Abal, M. E.
Vazquez-Lorenzo, R.
ADVANCES IN GEOMETRY, 2012, 12 (01) : 83 - 100
[50] The Paley-Wiener Theorem and Limits of Symmetric Spaces
Olafsson, Gestur
Wolf, Joseph A.
JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (01) : 1 - 31

← 1 2 3 4 5 →