Beurling's theorem for the Clifford‐Fourier transform

DOI10.1002/mma.9081zbMath1529.42011arXiv1611.06017OpenAlexW4318320810MaRDI QIDQ6139336

Rim Jday, Jamel El Kamel

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06017

zbMATH Keywords

Clifford analysisuncertainty principlesBeurling's theoremClifford-Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• Uncertainty principles for the Dunkl transform
• The class of Clifford-Fourier transforms
• Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups
• 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.
• Uncertainty principles for the Clifford-Fourier transform
• Inequalities in the setting of Clifford analysis
• The Clifford-Fourier transform
• On the Clifford-Fourier Transform
• Generalized Fourier Transforms Arising from the Enveloping Algebras of 𝔰𝔩(2) and 𝔬𝔰𝔭(1∣2)
• Revisiting Beurling's theorem for Fourier–Dunkl transform
• Uncertainty principles for the Hankel transform

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