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2014 An Essay Toward a Unified Theory of the $L^p$ Version of Hardy's Uncertainty Principles and $q$-Analogues
A. Fitouhi, N. Bettaibi, L. Bennasr
Commun. Math. Anal. 17(1): 23-34 (2014).

Abstract

In this paper, we give an $L^p$ version of Hardy's uncertainty principles for a large class of integral and $q$-integral transforms. As an applications, we discuss an $L^p$ version of Hardy's theorem for the generalized Fourier transform associated with the Sturm-Liouville operator and for the Jacobi-Dunkl transform.

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A. Fitouhi. N. Bettaibi. L. Bennasr. "An Essay Toward a Unified Theory of the $L^p$ Version of Hardy's Uncertainty Principles and $q$-Analogues." Commun. Math. Anal. 17 (1) 23 - 34, 2014.

Information

Published: 2014
First available in Project Euclid: 20 October 2014

zbMATH: 1326.44001
MathSciNet: MR3270581

Subjects:
Primary: 26D15 , 33D60 , 39A12 , ‎43A32 , 44A20

Keywords: Generalized Fourier transform , Hardy's uncertainty principle , integral transforms , Jacob-Dunkl transform , q-analogues

Rights: Copyright © 2014 Mathematical Research Publishers

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Vol.17 • No. 1 • 2014
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