Sign in
Back
Harmonic analysis associated with the modified Cherednik type operator and quantitative uncertainty principles for its Hartley transform
Journal article   Peer reviewed

Harmonic analysis associated with the modified Cherednik type operator and quantitative uncertainty principles for its Hartley transform

Hatem Mejjaoli
Journal of computational and applied mathematics, Vol.321, pp.508-531
09/2017
DOI: https://doi.org/10.1016/j.cam.2017.02.035

Abstract

Donoho–Stark’s uncertainty principle Hartley transform Variants of Heisenberg’s uncertainty principle
We consider a new differential–difference operator Λ 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 its Hartley transform associated to the operator Λ.

Metrics

1 Record Views

Details