Gabor transform in the generalized Weinstein theory setting

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.