Logarithmic uncertainty principle for the Hankel transform

DOI10.1080/10652469.2010.537266zbMath1227.42010OpenAlexW2014866202MaRDI QIDQ3093008

Slim Omri

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2010.537266

zbMATH Keywords

Hankel transformRiesz potentiallogarithmic uncertainty principlePitt's inequalityStein-Weiss inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (16)

Pitt's inequality and logarithmic uncertainty principle for the Dunkl transform on \(\mathbb R\) ⋮ Beckner logarithmic uncertainty principle for the Stockwell transform associated with the singular partial differential operators ⋮ Sharp Pitt's inequality and Beckner's logarithmic uncertainty principle for the Weinstein transform ⋮ Monotone complexity measures of multidimensional quantum systems with central potentials ⋮ Pitt's inequality and logarithmic uncertainty principle for the Clifford-Fourier transform ⋮ Uncertainty inequalities for certain connected Lie groups ⋮ Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle ⋮ A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator ⋮ Inequalities in time-frequency analysis ⋮ Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\) ⋮ Sharp Shannon's and logarithmic Sobolev inequalities for the Hankel transform ⋮ Uncertainty principles for the continuous Hankel Wavelet transform ⋮ Uncertainty principles for the windowed Hankel transform ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles ⋮ An uncertainty principle for the basic wavelet transform ⋮ New results for the Hankel transform via the Hankel potential and Hankel resolvent

Cites Work

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• Variation diminishing Hankel transforms
• The uncertainty principle: A mathematical survey
• On the \(L^p\) theory of Hankel transforms
• Local uncertainty principle for the Hankel transform
• Classical Fourier Analysis
• An uncertainty principle for Hankel transforms
• Lipschitz-Hankel spaces and partial Hankel integrals
• Uncertainty principles for the Hankel transform
• Uncertainty Inequalities for Hankel Transforms
• ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS

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