Global Journal of Pure and Applied Mathematics

  • Year: 2005
  • Volume: 1
  • Issue: 3

Cowling-Price and Hardy Theorems on Chébli-trimèche Hypergroups

  • Author:
  • Khalifa Trimèche
  • Total Page Count: 20
  • DOI:
  • Page Number: 286 to 305

Faculty of Sciences, Department of Mathematics, Campus, 1060 Tunis, Tunisia. E-mail: khlifa.trimeche@fst.rnu.tn

Abstract

We give in this paper generalizations of Cowling-Price and Hardy theorems on Chébli-Trimèche hypergroups (ℝ+, *(A)). We have obtained these theorems by using essentially properties of the generalized Weyl integral transform and estimates of the Gaussian kernel on (ℝ+, *(A)).

Keywords

Chébli-Trimèche hypergroups, Generalized Fourier transform, Cowling- Price's theorem, Hardy's theorem