A Bochner type theorem for inductive limits of Gelfand pairs
A Bochner type theorem for inductive limits of Gelfand pairs
In this article, we prove a generalisation of Bochner-Godement theorem. Our result deals with Olshanski spherical pairs (G,K) defined as inductive limits of increasing sequences of Gelfand pairs (G(n),K(n)) n≥1 . By using the integral representation theory of G. Choquet on convex cones, we establish a Bochner type representation of …