2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160000In this paper we prove a generalisation of Bochner's theorem. Our result deals with Olshanski's spherical pairs defined as inductive limits of increasing sequences of Gelfand Pairs.17 pages, To appear in Annales de l'Institut Fourier, Volume 58, 2008Group TheoryClassical Analysis and ODEs22E30 (Primary); 43A35, 43A85, 43A90 (Secondary)A Bochner Type Theorem for Inductive Limits of Gelfand Pairstext