Uncertainty principle for the Riemann-Liouville operator

Hleili Khaled; Omri Slim; Lakhdar Rachdi

doi:10.4067/S0719-06462011000300006

Authors

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.

DOI:

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

Keywords:

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

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.