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

Beurling-Hörmander's Theorem for the Chébli-Trimèche Transform

  • Author:
  • Latifa Bouattour, Khalifa Trimèche
  • Total Page Count: 16
  • Page Number: 342 to 357

Faculty of Sciences of Tunis, Department of Mathematics, 1060 Tunis, Tunisia.

*E-mail: Latifa.Bouattour@fst.rnu.tn

AMS Subject Classification: Primary 43A62; Secondary 44A15.

Abstract

In this paper we consider the generalized Fourier transform on Chébli-Trimèche hypergroups (ℝ+, *(A)) and we establish an analogue of Beurling-Hörmander's theorem for this transform . Next, we give some applications of this theorem.

Keywords

Chébli-Trimèche hypergroups, Chébli-Trimèche transform, Beurling-Hörmander's theorem