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2015 $L^p$ Quantitative Uncertainty Principles for the Generalized Fourier Transform Associated with the Spherical Mean Operator
Hatem Mejjaoli, Youssef Othmani
Commun. Math. Anal. 18(1): 83-99 (2015).

Abstract

The aim of this paper is to prove new quantitative uncertainty principles for the Fourier transform connected with the spherical mean operator. The first of these results is an extension of the Donoho and Stark's uncertainty principle. The second result extends the Heisenberg-Pauli-Weyl uncertainty principle. From these two results we deduce a continuous-time principle for the $L^p$ theory, when $1 \lt p \le 2$.

Citation

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Hatem Mejjaoli. Youssef Othmani. "$L^p$ Quantitative Uncertainty Principles for the Generalized Fourier Transform Associated with the Spherical Mean Operator." Commun. Math. Anal. 18 (1) 83 - 99, 2015.

Information

Published: 2015
First available in Project Euclid: 12 August 2015

zbMATH: 1327.43005
MathSciNet: MR3365176

Subjects:
Primary: 35C80, ‎43A32, 51F15

Rights: Copyright © 2015 Mathematical Research Publishers

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Vol.18 • No. 1 • 2015
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