A new class of uncertainty principles for the k-Hankel wavelet transform

Abstract

Abstract The k-Hankel wavelet transform is a novel addition to the class of wavelet transforms which relies on a pair of generalized translation and dilation operators governed by the well-known k-Hankel transform. The aim of this paper is to explore a class of new uncertainty principles associated with the k-Hankel wavelet transform, including the Benedick–Amrein–Berthier and Shapiro’s uncertainty inequalities. Nevertheless, we shall also establish certain local-type uncertainty principles abreast of the mean dispersion theorems for the k-Hankel wavelet transform.