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CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES
Published online by Cambridge University Press: 05 May 2009
Abstract
We prove that in any compact symmetric space, G/K, there is a dense set of a1,a2∈G such that if μj=mK*δaj*mk is the K-bi-invariant measure supported on KajK, then μ1*μ2 is absolutely continuous with respect to Haar measure on G. Moreover, the product of double cosets, Ka1Ka2K, has nonempty interior in G.
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- Copyright © Australian Mathematical Society 2009
Footnotes
This research was supported in part by NSERC and the Sultan Qaboos University.
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