Beurling's theorem for the Bessel–Struve transform

Azzedine Achak; Radouan Daher; Hind Lahlali

doi:10.1016/j.crma.2015.09.013

Harmonic analysis

Beurling's theorem for the Bessel–Struve transform

Presented by: the Editorial Board

Azzedine Achak ¹; Radouan Daher ¹; Hind Lahlali ¹

¹ Department of Mathematics, Faculty of Sciences Aïn Chock, University of Hassan II, Casablanca, Morocco

Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 81-85.

Abstract
Résumé

The Bessel–Struve transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. Beurling's theorem is obtained for the Bessel–Struve transform $F_{B, S}^{α}$ .

La transformé de Bessel–Struve satisfait quelques principes d'incertitude de manière similaire au cas de la transformée de Fourier euclidienne. Le théorème de Beurling est obtenu pour la transformée de Bessel–Struve.

Received: 2014-04-19
Accepted: 2015-09-11
Published online: 2015-11-06

DOI: 10.1016/j.crma.2015.09.013

Author's affiliations:

Azzedine Achak ¹; Radouan Daher ¹; Hind Lahlali ¹

¹ Department of Mathematics, Faculty of Sciences Aïn Chock, University of Hassan II, Casablanca, Morocco

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Azzedine Achak; Radouan Daher; Hind Lahlali. Beurling's theorem for the Bessel–Struve transform. Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 81-85. doi : 10.1016/j.crma.2015.09.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.09.013/

References
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