On the Distribution of Products of Spherical Classes in Classical Symmetric Spaces of Rank One

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115379The distribution of products of random matrices chosen from fixed spherical classes is determined for classical rank 1 symmetric spaces. It is observed that $n\to\infty$ limit behaves approximately as in the abelian case. A theorem on the rate of convergence to the Haar measure in the case of SU(n) is also established.32 pages, Submitted for publicationRepresentation TheoryClassical Analysis and ODEs43A90; 22E46 ; 53C35On the Distribution of Products of Spherical Classes in Classical Symmetric Spaces of Rank Onetext