Comptes Rendus
Harmonic analysis
Beurling's theorem for the Bessel–Struve transform
[Théorème de Beurling pour la transformée de Bessel–Struve]
Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 81-85.

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 FB,Sα.

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.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2015.09.013

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/

[1] A. Beurling, Birkhäuser, Boston, MA, USA (1989), pp. 1-2

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[4] S. Hamem; L. Kamoun; S. Negzaoui Cowling–Price type theorem related to Bessel–Struve transform, Arab J. Math. Sci. (2012) | DOI

[5] G.H. Hardy A theorem concerning Fourier transform, J. Lond. Math. Soc., Volume 8 (1993), pp. 227-231

[6] L. Kamoun; S. Negzaoui On the harmonic analysis associated to the Bessel–Struve operator | arXiv

[7] T. Kawazoe; H. Mejjaoli Uncertainty principles for the Dunkl transform, Hiroshima Math. J., Volume 40 (2010), pp. 241-268

[8] H. Mejjaoli An analogue of Beurling–Hörmander's theorem associated with Dunkl–Bessel operator, Fract. Calc. Appl. Anal., Volume 9 (2006) no. 3, pp. 247-264

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  • EL MEHDI LOUALID; AZZEDINE ACHAK; RADOUAN DAHER Beurling’s Theorem for the Q-Fourier-Dunkl Transform, Kragujevac Journal of Mathematics, Volume 45 (2021) no. 01, p. 39 | DOI:10.46793/kgjmat2101.039l
  • AHMED ABOUELAZ; AZZEDINE ACHAK; RADOUAN DAHER; NAJAT SAFOUANE Quantitative Uncertainty Principle for Sturm-Liouville Transform, Kragujevac Journal of Mathematics, Volume 45 (2021) no. 03, p. 465 | DOI:10.46793/kgjmat2103.465a
  • A. Abouelaz; A. Achak; R. Daher; N. Safouane Quantitative uncertainty principles for the Weinstein transform, Boletín de la Sociedad Matemática Mexicana, Volume 25 (2019) no. 2, p. 375 | DOI:10.1007/s40590-018-0197-7
  • S. Negzaoui Beurling–Hörmander's theorem related to Bessel–Struve transform, Integral Transforms and Special Functions, Volume 27 (2016) no. 9, p. 685 | DOI:10.1080/10652469.2016.1188814

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