Filomat
Gabor transform in the generalized Weinstein theory setting
Mohamed Ben
Abstract
In this paper, we consider the generalized Weinstein operator ?d,?,n W, we introduce and study the continuous generalized Weinstein Gabor Transform denoted by Gg associated with the operator ?d,?,n W. We prove a Plancherel formula and a weak uncertainty principle for it. We obtain analogous of Heisenbeg?s inequality for the generalized Weinstein Gabor Transform.