Quantitative Uncertainty Principle for Sturm-Liouville Transform
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 465
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we consider the Sturm-Liouville transform $\mathcal{F}(f)$ on $\mathbb{R}_{+}$. We analyze the concentration of this transform on sets of finite measure. In particular, Donoho-Stark and Benedicks-type uncertainty principles are given.
Classification :
42A38 44A35, 34B30
Keywords: Sturm-Liouville transform, Benedicks theorem, Donoho-Stark's uncertainty principle
Keywords: Sturm-Liouville transform, Benedicks theorem, Donoho-Stark's uncertainty principle
@article{KJM_2021_45_3_a10,
author = {Ahmed Abouelaz and Azzedine Achak and Radouan Daher and Najat Safouane},
title = {Quantitative {Uncertainty} {Principle} for {Sturm-Liouville} {Transform}},
journal = {Kragujevac Journal of Mathematics},
pages = {465 },
publisher = {mathdoc},
volume = {45},
number = {3},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a10/}
}
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Ahmed Abouelaz; Azzedine Achak; Radouan Daher; Najat Safouane. Quantitative Uncertainty Principle for Sturm-Liouville Transform. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 465 . http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a10/