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Harmonic analysis associated with the generalized differential-difference operator on the real line and quantitative uncertainty principles for its Hartley transform
Journal article   Peer reviewed

Harmonic analysis associated with the generalized differential-difference operator on the real line and quantitative uncertainty principles for its Hartley transform

Hatem Mejjaoli
Applicable analysis, Vol.96(7), pp.1146-1169
19/05/2017
DOI: https://doi.org/10.1080/00036811.2016.1178723

Abstract

Differential-difference operator Hartley transform quantitative uncertainty principles Donoho-Stark's uncertainty principle Secondary: 42B10 variants of Heisenberg's uncertainty principle
We consider a new differential-difference operator on the real line. We study the harmonic analysis associated with this operator. Next, we prove various mathematical aspects of the quantitative uncertainty principles, including Donoho-Stark's uncertainty principle and variants of Heisenberg's inequalities for the Hartley transform associated to the operator .

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