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QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE INVERSE OF THE HYPERGEOMETRIC FOURIER TRANSFORM
Journal article   Open access

QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE INVERSE OF THE HYPERGEOMETRIC FOURIER TRANSFORM

Hatem Mejjaoli
KOREAN JOURNAL OF MATHEMATICS, Vol.23(1), pp.129-151
30/03/2015

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we prove an L-p version of Donoho-Stark's uncertainty principle for the inverse of the hypergeometric Fourier transform on 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 R-d.
url
https://doi.org/10.11568/kjm.2015.23.1.129View
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