A Bochner Type Theorem for Inductive Limits of Gelfand Pairs
arXiv:math/0701501
Abstract
In 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, 2008