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Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on R-d
Journal article

Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on R-d

Hatem Mejjaoli, Nadia Sraieb and Khalifa Trimeche
Journal of pseudo-differential operators and applications, Vol.10(4), pp.883-913
01/12/2019
DOI: https://doi.org/10.1007/s11868-019-00276-4

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We prove a new inversion formula for the Dunkl Gabor transform. We also prove several versions of Heisenberg-type inequalities, Donoho-Stark's uncertainty principles, local Cowling-Price's type inequalities and finally Faris-Price's uncertainty principle for the previous transform.

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