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http://dx.doi.org/10.11568/kjm.2015.23.1.129

QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE INVERSE OF THE HYPERGEOMETRIC FOURIER TRANSFORM  

Mejjaoli, Hatem (Department of Mathematics College of Sciences Taibah University)
Publication Information
Korean Journal of Mathematics / v.23, no.1, 2015 , pp. 129-151 More about this Journal
Abstract
In this paper, we prove an $L^p$ version of Donoho-Stark's uncertainty principle for the inverse of the hypergeometric Fourier transform on $\mathbb{R}^d$. Next, using the ultracontractive properties of the semigroups generated by the Heckman-Opdam Laplacian operator, we obtain an $L^p$ Heisenberg-Pauli-Weyl uncertainty principle for the inverse of the hypergeometric Fourier transform on $\mathbb{R}^d$.
Keywords
Hypergeometric Fourier transform; Donoho-Stark's uncertainty principle; $L^p$ Heisenberg-Pauli-Weyl uncertainty principle;
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Times Cited By KSCI : 1  (Citation Analysis)
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