Localization of orthonormal sequences in the spherical mean setting

DOI10.1007/s00009-015-0572-9zbMath1348.43006OpenAlexW263250711MaRDI QIDQ305836

F. Blanchet-Sadri, M. Dambrine

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-015-0572-9

zbMATH Keywords

Fourier transformuncertainty principlemean dispersion principleorthonormal sequenceShapiro's theoremspherical mean operatortime frequency localization

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32)

Related Items (4)

\(L^p\)-boundedness of the Littlewood-Paley \(g\)-function associated with the spherical mean operator for \(1<p<+\infty\) ⋮ Maximal operators in the spherical mean setting ⋮ Estimate of the Fourier-Bessel multipliers for the poly-axially operator ⋮ Boundedness and compactness of the spherical mean two-wavelet localization operators

Cites Work

• Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization
• Uncertainty principles for orthonormal sequences
• Heisenberg-Pauli-Weyl uncertainty principle for the spherical mean operator
• Fock spaces connected with spherical mean operator and associated operators
• The uncertainty principle: A mathematical survey
• Ranges and inversion formulas for spherical mean operator and its dual
• The Littlewood-Paley \(g\)-function associated with the spherical mean operator
• Inversion ofN-Dimensional Spherical Averages
• An inverse method for the processing of synthetic aperture radar data
• Traces and determinants of linear operators
• Self-reciprocal functions
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