HARDY’S THEOREM FOR GABOR TRANSFORM

DOI10.1017/S1446788718000204zbMath1417.43001OpenAlexW2963377239MaRDI QIDQ3122313

Jyoti Sharma, Ashish Bansal, Ajay Kumar

Publication date: 20 March 2019

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788718000204

zbMATH Keywords

Fourier transformnilpotent Lie groupcontinuous Gabor transformHardy's uncertainly principle

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Other transforms and operators of Fourier type (43A32) Locally compact groups and their algebras (22D99)

Related Items (3)

Hardy's theorem for Gabor transform on nilpotent Lie groups ⋮ Unnamed Item ⋮ Uncertainty Principle for Gabor Transform on the Quaternionic Heisenberg Group

Cites Work

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• On theorems of Beurling and Hardy for the Euclidean motion groups
• The uncertainty principle: A mathematical survey
• Uncertainty principles on certain Lie groups
• Continuous Gabor transform for a class of non-abelian groups
• On Hardy's uncertainty principle for solvable locally compact groups
• On Hardy's uncertainty principle for connected nilpotent Lie groups
• On theorems of Beurling and Hardy for certain step two nilpotent groups
• Hardy’s theorem for the 𝑛-dimensional Euclidean motion group
• An analogue of Hardy's theorem for the Heisenberg group
• A complete analogue of Hardy's theorem on semisimple Lie groups
• A Theorem Concerning Fourier Transforms
• Groups with Finite Dimensional Irreducible Representations
• Uncertainty principles on two step nilpotent Lie groups

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