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.
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Graczyk, P. Factorization Theorems on Symmetric Spaces of Noncompact Type. Journal of Theoretical Probability 12, 375–383 (1999). https://doi.org/10.1023/A:1021674010533
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DOI: https://doi.org/10.1023/A:1021674010533