Uncertainty principle for the Riemann-Liouville operator

Hleili Khaled khaled.hleili@gmail.com
Omri Slim slim.omri@issig.rnu.tn
Lakhdar Rachdi lakhdartannech.rachdi@fst.rnu.tn

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DOI:

https://doi.org/10.4067/S0719-06462011000300006

Abstract

A Beurling-H¨ormander theorem‘s is proved for the Fourier transform connected with the Riemann-Liouville operator. Nextly, Gelfand-Shilov and Cowling-Price type theorems are established.

Keywords

Beurling-H¨ormander theorem , Gelfand-Shilov theorem , Cowling- Price theorem , Fourier transform , Riemann-Liouville operator

Hleili Khaled Faculty of Applied Mathematics, D´epartement de Math´ematiques et d‘Informatique, Institut national des sciences appliqu´ees et de Thechnologie, Centre Urbain Nord BP 676 - 1080 Tunis cedex, Tunisia.
Omri Slim D´epartement de Math´ematiques Appliqu´ees, Institut pr´eparatoire aux ´etudes d‘ing´enieurs, Campus universitaire Mrezka - 8000 Nabeul, Tunisia.
Lakhdar Rachdi D´epartement de Math´ematiques, Facult´e des Sciences de Tunis, 2092 El Manar II, Tunisia.

Pages: 91–115
Date Published: 2011-10-01
Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

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Published

2011-10-01

How to Cite

[1]

H. Khaled, O. Slim, and L. Rachdi, “Uncertainty principle for the Riemann-Liouville operator”, CUBO, vol. 13, no. 3, pp. 91–115, Oct. 2011.

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Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

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