Global Journal of Pure and Applied Mathematics
  • Year: 2005
  • Volume: 1
  • Issue: 3

Hypoelliptic Distributions on Chébli-Trimèche Hypergroups

  • Author:
  • Khalifa Trimèche
  • Total Page Count: 21
  • Page Number: 251 to 271

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

AMS Subject Classification: Primary 44A35, 43A32.

Abstract

We characterize by simple proofs the hypoelliptic distributions on Chébli-Trimèche hypergroups in terms of their generalized Fourier transform.

Keywords

Chébli-Trimèche hypergroups, Generalized Fourier transform of distributions, Generalized convolution product of distributions, Hypoelliptic distributions, Hypoelliptic generalized convolution equations