Turkish Journal of Mathematics
DOI
10.3906/mat-2005-57
Abstract
In this paper, we prove a Benedicks type theorem and a Donoho-Stark type theorem, for the generalized Fourier transform $\mathcal{F}_\alpha$ associated to some differential operators that we call Flensted-Jensen operators, in various spaces such $\mathrm{L}^1_\alpha(\mathbb{K})$, $\mathrm{L}^2_\alpha(\mathbb{K})$ and $\mathrm{L}^1_\alpha(\mathbb{K})\cap\mathrm{L}^2_\alpha(\mathbb{K})$, where $\mathbb{K}=\mathbb{R}_+\times\mathbb{R}$
Keywords
Generalized Fourier transform, Benedicks theorem, Donoho-Stark theorem, uncertainty principle
First Page
1724
Last Page
1735
Recommended Citation
KAMOUN, LOTFI and LAFFI, RAOUDHA
(2020)
"Benedicks and Donoho-Stark type theorems,"
Turkish Journal of Mathematics: Vol. 44:
No.
5, Article 15.
https://doi.org/10.3906/mat-2005-57
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss5/15
