Uncertainty principles for the Hankel transform

DOI10.1080/10652460701320745zbMath1122.44003OpenAlexW2038657881MaRDI QIDQ5297929

Tuan, V. K.

Publication date: 16 July 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701320745

zbMATH Keywords

Hankel transformuncertainty principleCowling-Price theoremDonoho-Stark theoremBeurling theoremHardy theoremGelfand-Shilov theoremSturm-Lioville transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (18)

On essentially time and Hankel band-limited functions ⋮ Spectrum of the finite Dunkl transform operator and Donoho–Stark uncertainty principle ⋮ Hardy type uncertainty principles for fractional Hankel transform ⋮ An other uncertainty principle for the Hankel transform ⋮ Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle ⋮ Beurling's theorem for the Clifford‐Fourier transform ⋮ Strong annihilating pairs for the Fourier-Bessel transform ⋮ On a progress in the Kontorovich–Lebedev transform theory and related integral operators ⋮ UNIQUENESS OF SOLUTIONS TO SCHRÖDINGER EQUATIONS ON -TYPE GROUPS ⋮ Fourier and Hankel bandlimited signal recovery ⋮ Donoho-Stark and Paley-Wiener theorems for the \(G\)-transform ⋮ Local uncertainty principle for the Hankel transform ⋮ Uncertainty principles for the continuous Hankel Wavelet transform ⋮ Boas-type theorems for the Bessel transform ⋮ Logarithmic uncertainty principle for the Hankel transform ⋮ Uncertainty principles for the windowed Hankel transform ⋮ The Logvinenko–Sereda theorem for the Fourier–Bessel transform ⋮ Uncertainty principles involvingL¹-norms for the Dunkl transform

Cites Work

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• Uncertainty Principles and Signal Recovery
• An uncertainty principle for Hankel transforms
• An uncertainty principle for the Dunkl transform
• A Theorem Concerning Fourier Transforms
• Upper bound on √x J_ν(x) and its applications

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