In this paper, we define and study the windowed transform \(\mathcal {W}_{\psi }\) in the context of the Laguerre hypergroup. We prove some of its basic properties, such as Plancherel theorem, inversion formula, and Calderón’s reproducing inversion formula. Moreover, we give a Shapiro-type uncertainty inequality for the Laguerre windowed transform \(\mathcal {W}_{\psi }\) , and we establish the Beckner’s uncertainty principle in terms of entropy for this transform. Finally, we define the localization operators \(\mathfrak {L}_{u,v}(\sigma )\) associated with \(\mathcal {W}_{\psi }\) , and we study the boundedness and compactness of these operators and establish a trace formula.
