A Bochner Type Theorem for Inductive Limits of Gelfand Pairs

Marouane Rabaoui (1)

1 LMAM - Laboratoire de Mathématiques et Applications de Metz

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.

Mots clés: Functions of positive type; Gelfand pairs; Bochner-Godement's theorem; Spherical pairs; Inductive limits; Von Neumann algebra.; Von Neumann algebra

Domaines: Théorie des groupes [math.GR]; Analyse classique [math.CA]

Marouane Rabaoui. A Bochner Type Theorem for Inductive Limits of Gelfand Pairs. 2007. ⟨hal-00125454⟩