An Lp-Lq version of Morgan’s and Cowling-Price’s theorems for the first Hankel-Clifford transform

Abstract

Uncertainty principles state that it is impossible for a function and its Fourier transform to be simultaneously very rapidly decreasing. In this paper, we are going to give an analogue of $\mathbb{L}^p-\mathbb{L}^q $ Cowling-Price's and Morgan's theorems for the first Hankel-Clifford transform.