Spherical mean periodic functions on semisimple Lie groups

Somesh Chandra Bagchi and Alladi Sitaram

Vol. 84 (1979), No. 2, 241–250

DOI: 10.2140/pjm.1979.84.241

Abstract

Let G be a connected semisimple noncompact Lie group with finite center. We define the notion of a smooth spherical mean periodic function (with respect to a fixed maximal compact subgroup K of G) and show that the classical results of L. Schwartz for mean periodic functions on the real line hold in this context.

Mathematical Subject Classification 2000

Primary: 43A90

Secondary: 22E30, 22E46

Milestones

Received: 29 December 1978

Published: 1 October 1979