WEYL TRANSFORMS ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR

DOI10.1142/S0219530503000156zbMath1045.47038OpenAlexW2032089212MaRDI QIDQ4474585

Khalifa Trimèche, Lakhdar Tannech Rachdi

Publication date: 12 July 2004

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530503000156

zbMATH Keywords

boundednesscompactnessspherical mean operatorWeyl transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (47G10) Other transforms and operators of Fourier type (43A32)

Related Items (27)

Unnamed Item ⋮ Weyl operator associated with index Whittaker transform ⋮ Spectral theorems associated with the spherical mean two-wavelet multipliers ⋮ Wigner-Ville distribution function in the framework of linear canonical transform ⋮ \(L^p\)-boundedness of the Littlewood-Paley \(g\)-function associated with the spherical mean operator for \(1<p<+\infty\) ⋮ Maximal operators in the spherical mean setting ⋮ Windowed-Kontorovich-Lebedev transforms ⋮ Weyl transforms associated with Dunkl wavelet transform ⋮ The Poisson convolution associated with the spherical mean operator ⋮ Localization operator and Weyl transform on reduced Heisenberg group with multidimensional center ⋮ Toeplitz operators for Stockwell transform related to 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 ⋮ Weyl transforms associated with the Heisenberg group ⋮ Continuous wavelet transform and uncertainty principle related to the spherical mean operator ⋮ Toeplitz operators for wavelet transform related to the spherical mean operator ⋮ Unnamed Item ⋮ Weyl transforms on the upper half plane ⋮ Heisenberg-Pauli-Weyl uncertainty principle for the spherical mean operator ⋮ Some results for the windowed Fourier transform related to the spherical mean operator ⋮ 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 ⋮ Boundedness and compactness of localization operators associated with the spherical mean Wigner transform ⋮ Weyl transform and generalized spectrogram associated with quaternion Heisenberg group ⋮ On the range of the Fourier transform connected with Riemann-Liouville operator ⋮ Localization operators associated with the spherical mean operator

Cites Work

• Unnamed Item
• Unnamed Item
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• Weyl transforms
• Ranges and inversion formulas for spherical mean operator and its dual
• Inversion ofN-Dimensional Spherical Averages
• On the Determination of a Function from Spherical Averages

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