A Plancherel Theorem On a Noncommutative Hypergroup
-
Published:2022-07-06
Issue:
Volume:20
Page:32
-
ISSN:2291-8639
-
Container-title:International Journal of Analysis and Applications
-
language:
-
Short-container-title:Int. J. Anal. Appl.
Author:
Germain Brou Kouakou,Toure Ibrahima,Kangni Kinvi
Abstract
Let G be a locally compact hypergroup and let K be a compact sub-hypergroup of G. (G, K) is a Gelfand pair if Mc(G//K), the algebra of measures with compact support on the double coset G//K, is commutative for the convolution. In this paper, assuming that (G, K) is a Gelfand pair, we define and study a Fourier transform on G and then establish a Plancherel theorem for the pair (G, K).
Publisher
SCIK Publishing Corporation
Subject
Applied Mathematics,Geometry and Topology,Business and International Management,Analysis