Heisenberg-Pauli-Weyl uncertainty principle for the spherical mean operator

DOI10.1007/s00009-010-0044-1zbMath1211.42011OpenAlexW1989494356MaRDI QIDQ980486

Nebila Msehli, Lakhdar Tannech Rachdi

Publication date: 29 June 2010

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0044-1

zbMATH Keywords

Fourier transformHeisenberg-Pauli-Weyl inequalityspherical mean operatorlocal uncertainty principle

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 (17)

Localization of orthonormal sequences in the spherical mean setting ⋮ Maximal operators in the spherical mean setting ⋮ Uncertainty principles for continuous wavelet transforms related to the Riemann-Liouville operator ⋮ The Poisson convolution associated with the spherical mean operator ⋮ The Littlewood-Paley \(g\)-function associated with the spherical mean operator ⋮ Heisenberg type uncertainty principle for the Gabor spherical mean transform ⋮ Continuous wavelet transform and uncertainty principle related to the spherical mean operator ⋮ Toeplitz operators for wavelet transform related to the spherical mean operator ⋮ Clifford wavelet transform and the uncertainty principle ⋮ Unnamed Item ⋮ Some results for the windowed Fourier transform related to the spherical mean operator ⋮ Uncertainty principles for spherical mean \(L^2\)-multiplier operators ⋮ Spectral theorems associated with the spherical mean two-wavelet localization operators ⋮ Boundedness and compactness of the spherical mean two-wavelet localization operators ⋮ Localization operators, time frequency concentration and quantitative-type uncertainty for the continuous wavelet transform associated with spherical mean operator ⋮ A general form of Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform ⋮ Weighted norm inequalities for the Opdam–Cherednik transform

Cites Work

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• An uncertainty principle for Hankel transforms
• An uncertainty principle for the Dunkl transform
• WEYL TRANSFORMS ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR
• A Theorem Concerning Fourier Transforms
• A Note on Fourier Transforms

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