A Plancherel Theorem On a Noncommutative Hypergroup

Germain, Brou Kouakou; Toure, Ibrahima; Kangni, Kinvi

doi:10.28924/2291-8639-20-2022-32

Research Article

A Plancherel Theorem On a Noncommutative Hypergroup

Brou Kouakou Germain*
Ibrahima Toure
Kinvi Kangni

* Corresponding author

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).

How to Cite

B. K. Germain, I. Toure, K. Kangni, A Plancherel Theorem On a Noncommutative Hypergroup, Int. J. Anal. Appl. 20 (2022), 32. https://doi.org/10.28924/2291-8639-20-2022-32

BibTeX

@article{Germain2022,
  author  = {Germain, Brou Kouakou and Toure, Ibrahima and Kangni, Kinvi},
  title   = {A Plancherel Theorem On a Noncommutative Hypergroup},
  journal = {Int. J. Anal. Appl.},
  volume  = {20},
  year    = {2022},
  pages   = {32},
  doi     = {10.28924/2291-8639-20-2022-32}
}

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