Global Journal of Pure and Applied Mathematics
  • Year: 2006
  • Volume: 2
  • Issue: 3

Beurling-Hörmander's The orem for the Dunkl Transform

  • Author:
  • Khalifa Trimèche
  • Total Page Count: 16
  • Page Number: 181 to 196

Department of Mathematics, Faculty of sciences of Tunis, Campus-1060, Tunis, Tunisia

E-mail address: khlifa.trimeche@fst.rnu.tn

AMS Subject Classification: Primary 35R10. Secondary 44A15.

Abstract

We establish an analogue of Beurling-Hörmander's theorem for the Dunkl transform D on IRd. We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price, and Morgan theorems for the transform D, by using the heat function associated to the Dunkl operator.

Keywords

Dunkl transform-Beurling-Hörmander's theorem-Hardy theorem-Morgan theorem