Benedicks–Amrein–Berthier theorem for the Heisenberg motion group

DOI10.1112/blms.12582arXiv1904.04023OpenAlexW4220996925WikidataQ113788589 ScholiaQ113788589MaRDI QIDQ6133264

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Publication date: 18 August 2023

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

Full work available at URL: https://arxiv.org/abs/1904.04023

zbMATH Keywords

Heisenberg motion groupWeyl transformAmrein-Berthier theoremBenedicks's theorem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Related Items (2)

Boundedness and uniqueness of quaternion Weyl transform ⋮ L²-L^p estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group

Cites Work

• Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• Bounded \(K\)-spherical functions on Heisenberg groups
• On support properties of Lsup(p)-functions and their Fourier transforms
• The uncertainty principle: A mathematical survey
• Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group
• Benedicks' theorem for the Weyl transform
• Q.U.P. and Paley-Wiener properties of unimodular, especially nilpotent, Lie groups
• Benedicks’ theorem for the Heisenberg group
• Harmonic Analysis in Phase Space. (AM-122)
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