Heisenberg-type inequalities for the Weinstein operator

DOI10.1080/10652469.2015.1038531zbMath1322.42012OpenAlexW2084844873MaRDI QIDQ5262284

Néjib Ben Salem, Amgad Rashed Nasr

Publication date: 13 July 2015

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

Full work available at URL: https://doi.org/10.1080/10652469.2015.1038531

zbMATH Keywords

time-frequency concentrationWeinstein transformHeisenberg's uncertainty inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Laplace transform (44A10) General integral transforms (44A05)

Related Items (29)

A variation of \(L^p\) uncertainty principles in Weinstein setting ⋮ Inequalities related to spherical harmonics associated with the Weinstein operator ⋮ Quantitative uncertainty principles associated with the \(k\)-generalized Stockwell transform ⋮ An integral representation of pseudo-differential operators involving Weinstein transform ⋮ On the Weinstein-Wigner transform and Weinstein-Weyl transform ⋮ Boundedness and compactness of localization operators for Weinstein-Wigner transform ⋮ Two-wavelet theory in Weinstein setting ⋮ The Fourier transform associated to the \(k\)-hyperbolic Dirac operator ⋮ New uncertainty principles for the $(k,a)$-generalized wavelet transform ⋮ Sharp Pitt's inequality and Beckner's logarithmic uncertainty principle for the Weinstein transform ⋮ The Weinstein transform associated with a family of generalized distributions ⋮ Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform ⋮ Shannon, Sobolev and uncertainty inequalities for the Weinstein transform ⋮ Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform ⋮ Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform ⋮ Uncertainty principles for the Weinstein type Segal-Bargmann space ⋮ inequality for a modified Struve transform ⋮ Wavelet packet analysis associated with the Weinstein operator on \(\mathbb{R}^{d+1}_+\) ⋮ Unnamed Item ⋮ \(L^p\) local uncertainty principles for the Dunkl Gabor transform on \(\mathbb{R}^d \) ⋮ \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) and its applications to the reproducing kernel theory ⋮ Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\) ⋮ Quantitative uncertainty principles associated with the directional short-time Fourier transform ⋮ Unnamed Item ⋮ Littlewood–Paleyg-function associated with the Weinstein operator ⋮ Quantitative uncertainty principles related to Lions transform ⋮ Time-scale localization operators in the Weinstein setting ⋮ Hardy-type inequalities associated with the Weinstein operator ⋮ Harmonic analysis associated with the modified Cherednik type operator and quantitative uncertainty principles for its Hartley transform

Cites Work

• Phase space localization of orthonormal sequences in \(L_\alpha^2(\mathbb{R}_+)\)
• Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Heisenberg-Pauli-Weyl uncertainty inequalities and polynomial volume growth
• Uncertainty principles for the weinstein transform
• Weinstein Gabor Transform and Applications
• An uncertainty principle for Hankel transforms
• Uncertainty principles for integral operators
• Time–frequency concentration of the windowed Hankel transform
• Uncertainty Inequalities for Hankel Transforms

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