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A Bochner Type Theorem for Inductive Limits of Gelfand Pairs

2007/01/18 by Marouane Rabaoui, Rabaoui, Marouane
Mathematics · #22E30 (Primary) #43A35 #43A85 #43A90 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Group Theory (math.GR) #math.CA #math.GR #msc:22E30 #msc:43A35 #msc:43A85 #msc:43A90

paper · pdf · doi:10.48550/arxiv.math/0701501

17 pages, To appear in Annales de l'Institut Fourier, Volume 58, 2008

arxiv created 2008/04/30 · arxiv updated 2009/12/01

Abstract

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.

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