Spherical mean periodic functions on semisimple Lie groups

S. C. Bagchi, Alladi Sitaram

Type: Article

Publication Date: 1979-10-01

Citations: 53

DOI: https://doi.org/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.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

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