Dunkl-Gabor transform and time-frequency concentration

DOI10.1007/s10587-015-0172-7zbMath1363.42070OpenAlexW2025656090MaRDI QIDQ5249660

Saifallah Ghobber

Publication date: 6 May 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144225

zbMATH Keywords

uncertainty principlestime-frequency concentrationDunkl-Gabor transform

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other transforms and operators of Fourier type (43A32) Other transformations of harmonic type (42C20)

Related Items

Time-frequency concentration and localization operators in the Dunkl setting ⋮ Phase space localized functions in the Dunkl setting ⋮ Time-frequency concentration, Heisenberg type uncertainty principles and localization operators for the continuous Dunkl wavelet transform on \(\mathbb {R}^{d}\) ⋮ Uncertainty principles for the Hankel-Stockwell transform ⋮ Reproducing kernel theory associated with the generalized Stockwell transform and applications ⋮ Local Price uncertainty principle and time-frequency localization operators for the Hankel–Stockwell transform ⋮ \(k\)-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 \({\mathbb{R}}^d\)

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