Faculty of Sciences, Department of Mathematics, Campus, 1060 Tunis, Tunisia. E-mail: khlifa.trimeche@fst.rnu.tn
AMS Subject Classification: Primary 43A62, 42B10, 44A15.
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)).
Chébli-Trimèche hypergroups, Generalized Fourier transform, Cowling- Price's theorem, Hardy's theorem