Heisenberg's uncertainty principle in the sense of Beurling

DOI10.1007/s11854-012-0048-9zbMath1277.42010arXiv1203.5222OpenAlexW3098326779WikidataQ56067659 ScholiaQ56067659MaRDI QIDQ355978

Haakan Hedenmalm

Publication date: 25 July 2013

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

Full work available at URL: https://arxiv.org/abs/1203.5222

zbMATH Keywords

Beurling's theoremHeisenberg's uncertainty principleMellin tranform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Summability in several variables (42B08)

Related Items (4)

Gap and Type problems in Fourier analysis ⋮ Bloch functions and asymptotic tail variance ⋮ On Beurling's uncertainty principle ⋮ Dynamical versions of Hardy’s uncertainty principle: A survey

Cites Work

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• Heisenberg uniqueness pairs and the Klein-Gordon equation
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• A uniqueness theorem of Beurling for Fourier transform pairs
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• The support of functions and distributions with a spectral gap.
• A Theorem Concerning Fourier Transforms

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