On Beurling's uncertainty principle

DOI10.1112/BLMS/BDW006zbMATH Open1341.42007arXiv1506.05209OpenAlexW1524902496MaRDI QIDQ2801728

Xin Gao

Publication date: 21 April 2016

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

Abstract: We generalise a result of Hedenmalm to show that if a function $f$ on $mathbbR$ is such that $$ as $lambdao1-$, then $f$ is the product of a polynomial and a gaussian.

Full work available at URL: https://arxiv.org/abs/1506.05209

zbMATH Keywords

Fourier transformBeurling's uncertainty principle

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Title not available (Why is that?)
• Heisenberg's uncertainty principle in the sense of Beurling
• A survey on uncertainty principles related to quadratic forms
• A uniqueness theorem of Beurling for Fourier transform pairs
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• The Hardy uncertainty principle revisited
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• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

Related Items (2)

Title not available (Why is that?) ⋮ Dynamical versions of Hardy’s uncertainty principle: A survey

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