Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418870 | Journal of Mathematical Analysis and Applications | 2013 | 11 Pages |
Abstract
We prove that for every irreducible, compact symmetric space, Gc/K, of rank r, the convolution of any (2r+1) continuous, K-bi-invariant measures is absolutely continuous with respect to the Haar measure on Gc. We also prove that the convolution of (r+1) continuous, K-invariant measures on the â1 eigenspace in the Cartan decomposition of the Lie algebra of Gc is absolutely continuous with respect to Lebesgue measure. These results are nearly sharp.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sanjiv K. Gupta, Kathryn E. Hare,