The Klein-Gordon equation, the Hilbert transform and Gauss-type maps: \(H^\infty\) approximation

DOI10.1007/s11854-021-0173-4zbMath1481.42010OpenAlexW4200208868WikidataQ114221657 ScholiaQ114221657MaRDI QIDQ2073016

Alfonso Montes-Rodríguez, Haakan Hedenmalm

Publication date: 27 January 2022

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-021-0173-4

zbMATH Keywords

Zariski closureHeisenberg uniqueness pair

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Heisenberg uniqueness pairs for the finitely many parallel lines with an irregular gap ⋮ The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps ⋮ Revisit on Heisenberg uniqueness pair for the hyperbola ⋮ Zeros under unitary weighted composition operators in the Hardy and Bergman spaces ⋮ From sphere packing to Fourier interpolation ⋮ Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023 ⋮ Heisenberg uniqueness pairs for the hyperbola

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• The Hilbert transform of a measure
• Heisenberg uniqueness pairs and a theorem of Beurling and Malliavin
• Uniqueness theorems for Fourier transforms
• Heisenberg uniqueness pairs and the Klein-Gordon equation
• Transformations on [0,1 with infinite invariant measures]
• A dynamical system approach to Heisenberg uniqueness pairs
• The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps
• The sphere packing problem in dimension 8
• Perron-Frobenius operators and the Klein-Gordon equation
• \(H^p\) spaces of several variables
• Heisenberg uniqueness pairs in the plane. Three parallel lines
• THE CRAMÉR–WOLD THEOREM ON QUADRATIC SURFACES AND HEISENBERG UNIQUENESS PAIRS
• Cauchy transforms of characteristic functions and algebras generated by inner functions
• Mixing for Markov operators
• Characterizations of bounded mean oscillation

This page was built for publication: The Klein-Gordon equation, the Hilbert transform and Gauss-type maps: \(H^\infty\) approximation