Uncertainty principles for the generalized Fourier transform associated to a Dunkl-type operator

DOI10.1080/00036811.2015.1080248zbMath1348.42011OpenAlexW2439341394WikidataQ58266963 ScholiaQ58266963MaRDI QIDQ2825387

Hatem Mejjaoli

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1080248

zbMATH Keywords

Beurling's theoremCowling-Price's theoremgeneralized Fourier transformHardy's type theoremDonoho-Stark's uncertainty principlevariants of Heisenberg's uncertainty principle

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32)

Related Items (8)

Quantitative uncertainty principles associated with the \(k\)-generalized Stockwell transform ⋮ New uncertainty principles for the $(k,a)$-generalized wavelet transform ⋮ A variation of the Lq,p‐uncertainty inequalities of Heisenberg‐type for symmetric q‐integral transforms ⋮ Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform ⋮ Uncertainty principles for the windowed Opdam–Cherednik transform ⋮ Paley-Wiener theorem for a generalized Fourier transform associated to a Dunkl-type operator ⋮ Time-frequency analysis associated with the \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles

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