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Uncertainty principles for the generalized Fourier transform associated to a Dunkl-type operator
Journal article   Peer reviewed

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

Hatem Mejjaoli
Applicable analysis, Vol.95(9), pp.1930-1956
01/09/2016
DOI: https://doi.org/10.1080/00036811.2015.1080248

Abstract

Beurling's theorem Cowling-Price's theorem Donoho-Stark's uncertainty principle generalized Fourier transform Hardy's type theorem variants of Heisenberg's uncertainty principle
In this paper, we prove various mathematical aspects of the qualitative and quantitative uncertainty principle, including Hardy's, Cowling-Price and its variants, Beurling and its variants, Gelfand-Shilov, Donoho-Stark's uncertainty principle, and variants of Heisenberg's inequalities for the generalized Fourier transform associated to a Dunkl-type operator on the real line.

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