Vol. 84, No. 2, 1979

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Spherical mean periodic functions on semisimple Lie groups

Somesh Chandra Bagchi and Alladi Sitaram

Vol. 84 (1979), No. 2, 241–250
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
Authors
Somesh Chandra Bagchi
Alladi Sitaram