On uncertainty bounds and growth estimates for fractional fourier transforms

DOI10.1080/00036810500499827zbMath1129.42346OpenAlexW2012349171MaRDI QIDQ5481710

Joseph D. Lakey, Jeffrey A. Hogan

Publication date: 10 August 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500499827

zbMATH Keywords

Hardy's theoremBeurling's theoremfractional fourier transformGelfand--Shilov space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

A simple observation on the uncertainty principle for the fractional Fourier transform

Cites Work

• A uniqueness theorem of Beurling for Fourier transform pairs
• Spaces of type \(W\), growth of Hermite coefficients, Wigner distribution, and Bargmann transform
• Harmonic Analysis in Phase Space. (AM-122)
• A Theorem Concerning Fourier Transforms
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms

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