ملخص
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 -1 eigenspace in the Cartan decomposition of the Lie algebra of Gc is absolutely continuous with respect to Lebesgue measure. These results are nearly sharp.
اللغة الأصلية | English |
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الصفحات (من إلى) | 668-678 |
عدد الصفحات | 11 |
دورية | Journal of Mathematical Analysis and Applications |
مستوى الصوت | 402 |
رقم الإصدار | 2 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - يونيو 15 2013 |
ASJC Scopus subject areas
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