Generalized Pitt’s inequality for the Gabor transform

Advances in Pure and Applied Mathematics 2026 Open access

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Authors: Ashish Bansal, Ajay Kumar
DOI: 10.21494/iste.op.2026.1393
Cited by: 0

Abstract

The generalized forms of Pitt's inequality for the L p -Gabor transform on the groups of the form R n ; R n × 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.

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Advanced Harmonic Analysis Research Advanced Operator Algebra Research

Publication details

Journal / source
Advances in Pure and Applied Mathematics
Volume
17
Issue
1
Pages
43–59
Publication date
1 January 2026
Language
FR