Titre : Generalized Pitt’s inequality for the Gabor transform Auteurs : Ashish Bansal , Ajay Kumar, Revue : Advances in Pure and Applied Mathematics Numéro : Issue 1 (January 2026) Volume : 17 Date : 2026/01/13 DOI : 10.21494/ISTE.OP.2026.1393 ISSN : 1869-6090 Résumé : The generalized forms of Pitt’s inequality for the $$$L^p$$$-Gabor transform on the groups of the form $$$ℝ^n; ℝ^n \times K, K$$$ being a Lie group of type I, in particular, a connected nilpotent Lie group; Heisenberg motion group and diamond Lie groups have been established. Éditeur : ISTE OpenScience