TY - Type of reference TI - L’inégalité de Pitts généralisée pour la transformation de Gabor AU - Ashish Bansal AU - Ajay Kumar AB - 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. DO - 10.21494/ISTE.OP.2026.1393 JF - Avancées en Mathématiques Pures et Appliquées KW - Diamond Lie groups, Fourier transform, Gabor transform, Hausdorff-Young inequality, Heisenberg motion group, Nilpotent Lie groups, Pitt’s inequality, Diamond Lie groups, Fourier transform, Gabor transform, Hausdorff-Young inequality, Heisenberg motion group, Nilpotent Lie groups, Pitt’s inequality, L1 - https://openscience.fr/IMG/pdf/iste_apam26v17n1_3.pdf LA - fr PB - ISTE OpenScience DA - 2025/09/15 SN - 1869-6090 TT - Generalized Pitt’s inequality for the Gabor transform UR - https://openscience.fr/L-inegalite-de-Pitts-generalisee-pour-la-transformation-de-Gabor IS - Numéro 1 (Janvier 2026) VL - 17 ER -