On Inductive Limit of Commutative Triples

Authors

  • Lamine Timite University of Felix Houphouet Boigny
  • Ibrahima Toure

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4244

Keywords:

Commutative triple, Spherical functions, Spherical pairs, Spherical triples

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.

Author Biography

  • Lamine Timite, University of Felix Houphouet Boigny
    Mathematics and Informatics, PhD

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Published

2022-01-31

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

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How to Cite

On Inductive Limit of Commutative Triples. (2022). European Journal of Pure and Applied Mathematics, 15(1), 249-260. https://doi.org/10.29020/nybg.ejpam.v15i1.4244