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

Downloads

PDF

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

Similar Articles

Fouad Fredj, Hadda Hammouche, On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
Gradimir V. MilovanoviÄ‡, Abdullah Mir, Adil Hussain, Estimates for the polar derivative of a constrained polynomial on a disk , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
Raúl Fierro, Sergio Pizarro, Fixed points of set-valued mappings satisfying a Banach orbital condition , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
Mehdi Dehghanian, Choonkil Park, Yamin Sayyari, Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
Amal Ghandouri, Hatem Mejjaoli, Slim Omri, On generalized Hardy spaces associated with singular partial differential operators , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
Gábor Czédli, Minimum-sized generating sets of the direct powers of free distributive lattices , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
Baharak Moosavi, Mohsen Shah Hosseini, Some norm inequalities for accretive Hilbert space operators , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
Sirkka-Liisa Eriksson, Heikki Orelma, A simple construction of a fundamental solution for the extended Weinstein equation , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)

<< < 15 16 17 18 19 20 21 22 > >>

You may also start an advanced similarity search for this article.

Downloads

Download data is not yet available.

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.

Download Citation

Issue

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

Section

Articles

Similar Articles

Fouad Fredj, Hadda Hammouche, On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
Gradimir V. MilovanoviÄ‡, Abdullah Mir, Adil Hussain, Estimates for the polar derivative of a constrained polynomial on a disk , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
Raúl Fierro, Sergio Pizarro, Fixed points of set-valued mappings satisfying a Banach orbital condition , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
Mehdi Dehghanian, Choonkil Park, Yamin Sayyari, Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
Amal Ghandouri, Hatem Mejjaoli, Slim Omri, On generalized Hardy spaces associated with singular partial differential operators , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
Gábor Czédli, Minimum-sized generating sets of the direct powers of free distributive lattices , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
Baharak Moosavi, Mohsen Shah Hosseini, Some norm inequalities for accretive Hilbert space operators , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
Sirkka-Liisa Eriksson, Heikki Orelma, A simple construction of a fundamental solution for the extended Weinstein equation , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)

<< < 15 16 17 18 19 20 21 22 > >>

You may also start an advanced similarity search for this article.