Uncertainty principles for Heisenberg motion group

DOI10.1155/2021/3734817zbMath1497.43008OpenAlexW3216152261MaRDI QIDQ2675669

Walid Amghar

Publication date: 24 September 2022

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/3734817

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Cites Work

• On theorems of Beurling and Hardy for the Euclidean motion groups
• Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups
• Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• HARDY AND MIYACHI THEOREMS FOR HEISENBERG MOTION GROUPS
• An Analogue of Beurling's Theorem for the Heisenberg Group

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