Heisenberg uniqueness pairs on the Euclidean spaces and the motion group

DOI10.5802/crmath.48zbMath1444.42004OpenAlexW3040821467WikidataQ114013381 ScholiaQ114013381MaRDI QIDQ784378

D. Kharzeev

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.48

zbMATH Keywords

Euclidean motion group

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55)

Related Items (4)

Heisenberg uniqueness pairs for the finitely many parallel lines with an irregular gap ⋮ Revisit on Heisenberg uniqueness pair for the hyperbola ⋮ Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group ⋮ Heisenberg uniqueness pairs for the hyperbola

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heisenberg uniqueness pairs for the parabola
• Heisenberg uniqueness pairs for some algebraic curves in the plane
• Heisenberg uniqueness pairs and a theorem of Beurling and Malliavin
• Uniqueness theorems for Fourier transforms
• Heisenberg uniqueness pairs and the Klein-Gordon equation
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• Oscillatory integrals and spherical harmonics
• Fourier transforms on the motion groups
• Non-harmonic cones are Heisenberg uniqueness pairs for the Fourier transform on \({\mathbb {R}}^n\)
• A dynamical system approach to Heisenberg uniqueness pairs
• The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps
• Perron-Frobenius operators and the Klein-Gordon equation
• An analogue of the Paley-Wiener theorem for the euclidean motion group
• Heisenberg uniqueness pairs in the plane. Three parallel lines
• A UNIQUENESS RESULT FOR THE FOURIER TRANSFORM OF MEASURES ON THE SPHERE
• THE CRAMÉR–WOLD THEOREM ON QUADRATIC SURFACES AND HEISENBERG UNIQUENESS PAIRS

This page was built for publication: Heisenberg uniqueness pairs on the Euclidean spaces and the motion group