Qualitative uncertainty principles for the hypergeometric Fourier transform

H. Mejjaoli; Hatem Mejjaoli

doi:10.1007/s10474-014-0466-5

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Qualitative uncertainty principles for the hypergeometric Fourier transform

Journal article

Peer reviewed

Qualitative uncertainty principles for the hypergeometric Fourier transform

H. Mejjaoli and Hatem Mejjaoli

Acta mathematica Hungarica, Vol.145(1), pp.229-251

01/02/2015

DOI: https://doi.org/10.1007/s10474-014-0466-5

Abstract

Article

general

Mathematics

Mathematics and Statistics

We prove an L p version of the Donoho–Stark’s uncertainty principle for 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 hypergeometric Fourier transform on R d .

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Title: Qualitative uncertainty principles for the hypergeometric Fourier transform
Creators - without role: H. Mejjaoli - Taibah University
Hatem Mejjaoli - Taibah University
Publication Details: Acta mathematica Hungarica, Vol.145(1), pp.229-251
Publisher: Springer Netherlands
Identifiers: 9929908508331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article