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Factorization Theorems on Symmetric Spaces of Noncompact Type
Authors:Piotr Graczyk
Affiliation:(1) Département de Mathématiques, Université d'Angers, 2 blv. Lavoisier, 49045 Angers, France
Abstract:We prove the analogs of the Khinchin factorization theorems for K-invariant probability measures on symmetric spaces X=G/K with G semisimple noncompact. We use the Kendall theory of delphic semigroups and some properties of the spherical Fourier transform and spherical functions on X.
Keywords:Probability measures  delphic semigroups  symmetric spaces
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