Time-frequency concentration, Heisenberg type uncertainty principles and localization operators for the continuous Dunkl wavelet transform on \(\mathbb {R}^{d}\)

DOI10.1007/s00009-017-0925-7zbMath1382.44004OpenAlexW2622524774MaRDI QIDQ1679139

Khalifa Trimèche, Hatem Mejjaoli

Publication date: 8 November 2017

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

Full work available at URL: https://doi.org/10.1007/s00009-017-0925-7

zbMATH Keywords

Schatten-von Neumann classeslocalization operatorsDunkl operatorsShapiro's theoremHeisenberg's type inequalitiesdispersion principleDunkl wavelet transformUmbrella theorem

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items

Concentration operators in the Dunkl wavelet theory ⋮ Time-frequency transforms with Poisson kernel modulation ⋮ Two-wavelet theory in Weinstein setting ⋮ New uncertainty principles for the $(k,a)$-generalized wavelet transform ⋮ Reproducing kernel theory associated with the generalized Stockwell transform and applications ⋮ Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform ⋮ Dunkl-Stockwell transform and its applications to the time-frequency analysis ⋮ Time-scale localization operators in the Weinstein setting

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