On the range of the Fourier transform connected with Riemann-Liouville operator
Rachdi, Lakhdar Tannech ; Rouz, Ahlem
Annales mathématiques Blaise Pascal, Tome 16 (2009), p. 355-397 / Harvested from Numdam
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We characterize the range of some spaces of functions by the Fourier transform associated with the Riemann-Liouville operator ℛ α ,α≥0 and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schwartz theorems.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/ambp.272
Classification:  42B35,  43A32,  35S30
Mots clés: Riemann-Liouville operator, Fourier transform, Paley-Wiener-Schwartz theorems 
@article{AMBP_2009__16_2_355_0,
     author = {Rachdi, Lakhdar Tannech and Rouz, Ahlem},
     title = {On the range of the Fourier transform  connected with Riemann-Liouville operator},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {16},
     year = {2009},
     pages = {355-397},
     doi = {10.5802/ambp.272},
     zbl = {1179.42019},
     mrnumber = {2568871},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2009__16_2_355_0}
}

Rachdi, Lakhdar Tannech; Rouz, Ahlem. On the range of the Fourier transform  connected with Riemann-Liouville operator. Annales mathématiques Blaise Pascal, Tome 16 (2009) pp. 355-397. doi : 10.5802/ambp.272. http://gdmltest.u-ga.fr/item/AMBP_2009__16_2_355_0/

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