On Inductive Limit of Commutative Triples
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Published:2022-01-31
Issue:1
Volume:15
Page:249-260
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Timite Lamine,Toure Ibrahima
Abstract
In this paper, we extend Olshanski's work on Gelfand pairs to commutative triples. We introduce the notion of spherical triples as generalization of commutative triples. We prove that inductive limit of increasing sequence of commutative triples is a spherical triple which shows that the former is also a generalization of spherical pairs. Furthermore we define spherical functions associated with this spherical triples. At end, we characterize this spherical functions by a functionnal equation and we give some of its properties.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science