Time-frequency analysis of localization operators associated to the windowed Hankel transform

DOI10.1080/10652469.2015.1117078zbMath1338.42010OpenAlexW2344724603MaRDI QIDQ2790247

Hajer Herch, Nadia Ben Hamadi, Cyrine Baccar

Publication date: 3 March 2016

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

Full work available at URL: https://doi.org/10.1080/10652469.2015.1117078

zbMATH Keywords

pseudodifferential operatorstrace formulaBessel operatorSchatten-von Neumann classlocalization operatorswindowed Hankel transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Other transforms and operators of Fourier type (43A32) Pseudodifferential operators (47G30)

Related Items (12)

Time-frequency concentration and localization operators in the Dunkl setting ⋮ \(L^p\) boundedness and compactness of localization operators associated with the \(k\)-Hankel wavelet transform on \({\mathbb{R}}^d \) ⋮ The localization operator and wavelet multipliers involving the Watson transform ⋮ Localization operators and scalogram associated with the deformed Hankel wavelet transform ⋮ Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces ⋮ \(L^p\)-\(L^q\) time-scale localization operator for the continuous Hankel wavelet transform ⋮ Toeplitz operators for Stockwell transform related to the spherical mean operator ⋮ \(k\)-Hankel Gabor transform and its applications to the theory of localization operators ⋮ Time-frequency analysis of localization operators for the non-isotropic $n$-dimensional modified Stockwell transform ⋮ Time-frequency analysis associated with the \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) ⋮ Uncertainty principles for the windowed Hankel transform ⋮ Spectrograms and time-frequency localized functions in the Hankel setting

Cites Work

• Two-wavelet localization operators on homogeneous spaces and their traces
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Continuous Gabor transform for strong hypergroups
• Time-frequency analysis of localization operators.
• Localization type Berezin-Toeplitz operators on bounded symmetric domains.
• Time-Frequency Localization via the Weyl Correspondence
• UNIFORM EIGENVALUE ESTIMATES FOR TIME-FREQUENCY LOCALIZATION OPERATORS
• Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations
• Time-frequency localization operators: a geometric phase space approach
• The wavelet transform, time-frequency localization and signal analysis
• Wave packets and fourier integral operators
• Time–frequency concentration of the windowed Hankel transform
• WICK AND ANTI-WICK OPERATOR SYMBOLS
• ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS

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