Uncertainty Principles for the Dunkl-Wigner Transforms

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 27 Sep 2016 English Publisher:WileyJournal:Journal of Operators, volume 2,016, pages 1-7 (issn: 2314-5064, eissn: 2314-5072,

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Authors: Fethi Soltani;

doi: 10.1155/2016/7637346

Uncertainty Principles for the Dunkl-Wigner Transforms

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Abstract

We prove a version of Heisenberg-type uncertainty principle for the Dunkl-Wigner transform of magnitude s>0; and we deduce a local uncertainty principle for this transform.

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Jazan University
Saudi Arabia

Keywords

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Connections of hypergeometric functions with groups and algebras, and related topics, Special integral transforms (Legendre, Hilbert, etc.), Dunkl-Wigner transform, Heisenberg-type uncertainty principle

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