Benedicks’ theorem for the Heisenberg group

DOI10.1090/S0002-9939-10-10272-XzbMath1202.42023arXiv0909.1620OpenAlexW2092276172MaRDI QIDQ3566678

E. K. Narayanan, P. K. Ratnakumar

Publication date: 8 June 2010

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

Full work available at URL: https://arxiv.org/abs/0909.1620

zbMATH Keywords

Heisenberg groupuncertainty principleWeyl transformBenedicks' theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Analysis on real and complex Lie groups (22E30) Measures on groups and semigroups, etc. (43A05)

Related Items (10)

Boundedness and uniqueness of quaternion Weyl transform ⋮ Non-harmonic cones are Heisenberg uniqueness pairs for the Fourier transform on \({\mathbb {R}}^n\) ⋮ Benedicks' theorem for the Weyl transform ⋮ Benedicks–Amrein–Berthier theorem for the Heisenberg motion group ⋮ Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type ⋮ Uncertainty principle for Weyl transform and Fourier–Wigner transform ⋮ Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group ⋮ Benedicks' theorem for the Weyl Transform associated with the Heisenberg group ⋮ Heisenberg uniqueness pairs for some algebraic curves in the plane ⋮ D. Luecking's finite rank theorem for Toeplitz operator, Benedicks' theorem on the Heisenberg group, and uncertainty principle for the Fourier-Wigner transform

Cites Work

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• Harmonic Analysis in Phase Space. (AM-122)
• Principe d'incertitude qualitatif et reconstruction de phase pour la transformée de Wigner

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