no. 1
Harmonic analysis
Beurling's theorem for the Bessel–Struve transform
[Théorème de Beurling pour la transformée de Bessel–Struve]

Présenté par : the Editorial Board

Achak, Azzedine1 ; Daher, Radouan1 ; Lahlali, Hind1
1 Department of Mathematics, Faculty of Sciences Aïn Chock, University of Hassan II, Casablanca, Morocco
Comptes Rendus. Mathématique, Tome 354 (2016) no. 1, pp. 81-85.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.09.013
Achak, Azzedine 1 ; Daher, Radouan 1 ; Lahlali, Hind 1

1 Department of Mathematics, Faculty of Sciences Aïn Chock, University of Hassan II, Casablanca, Morocco 
@article{CRMATH_2016__354_1_81_0,
     author = {Achak, Azzedine and Daher, Radouan and Lahlali, Hind},
     title = {Beurling's theorem for the {Bessel{\textendash}Struve} transform},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {81--85},
     publisher = {Elsevier},
     volume = {354},
     number = {1},
     year = {2016},
     doi = {10.1016/j.crma.2015.09.013},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.crma.2015.09.013/}
}
TY  - JOUR
AU  - Achak, Azzedine
AU  - Daher, Radouan
AU  - Lahlali, Hind
TI  - Beurling's theorem for the Bessel–Struve transform
JO  - Comptes Rendus. Mathématique
PY  - 2016
SP  - 81
EP  - 85
VL  - 354
IS  - 1
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.crma.2015.09.013/
DO  - 10.1016/j.crma.2015.09.013
LA  - en
ID  - CRMATH_2016__354_1_81_0
ER  - 
%0 Journal Article
%A Achak, Azzedine
%A Daher, Radouan
%A Lahlali, Hind
%T Beurling's theorem for the Bessel–Struve transform
%J Comptes Rendus. Mathématique
%D 2016
%P 81-85
%V 354
%N 1
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.crma.2015.09.013/
%R 10.1016/j.crma.2015.09.013
%G en
%F CRMATH_2016__354_1_81_0
Achak, Azzedine; Daher, Radouan; Lahlali, Hind. Beurling's theorem for the Bessel–Struve transform. Comptes Rendus. Mathématique, Tome 354 (2016) no. 1, pp. 81-85. doi : 10.1016/j.crma.2015.09.013. http://www.numdam.org/articles/10.1016/j.crma.2015.09.013/

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

[2] Bonami, A.; Demange, B.; Jaming, P. Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms, Rev. Mat. Iberoam., Volume 19 (2002), pp. 22-35

[3] Cowling, M.G.; Price, J.F. (Lecture Notes in Mathematics), Volume vol. 992, Springer, Berlin (1983), pp. 443-449

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

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

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

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

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

[9] Miyachi, A. A generalization of Hardy, Harmonic Analysis Seminar Held at Izunagoaka Shizuoka-ken, Japan, 1997, pp. 44-51

Cité par Sources :