Time-frequency analysis associated with the \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\)
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Publication:2050502
DOI10.1007/s11868-021-00399-7zbMath1492.42006OpenAlexW3181880509MaRDI QIDQ2050502
Publication date: 31 August 2021
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-021-00399-7
time-frequency concentration\(k\)-Hankel transform on \(\mathbb{R}^d,k\)-Hankel Gabor transform on \(\mathbb{R}^d\)Heisenberg's uncertainty principleslogarithmic uncertainty principlesShapiro's uncertainty principles
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential operators (47G30)
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Time-frequency analysis associated with the deformed Stockwell transform ⋮ \(k\)-Hankel Wigner transform and its applications to the localization operators theory ⋮ \(L^p\) boundedness and compactness of localization operators associated with the \(k\)-Hankel wavelet transform on \({\mathbb{R}}^d \) ⋮ Time-frequency concentration and localization operators associated with the directional short-time Fourier transform ⋮ Linear canonical deformed Hankel transform and the associated uncertainty principles ⋮ A new class of uncertainty principles for the \(k\)-Hankel wavelet transform ⋮ Localization operators and scalogram associated with the deformed Hankel wavelet transform ⋮ Time-frequency analysis of (k,a)-generalized wavelet transform and applications ⋮ Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform ⋮ Generalized convolution operator associated with the \((k, a)\)-generalized Fourier transform on the real line and applications
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