Annales Mathématiques
Blaise Pascal
no. 2
On the range of the Fourier transform connected with Riemann-Liouville operator
Lakhdar Tannech Rachdi1 ; Ahlem Rouz1
1 Department of Mathematics Faculty of Sciences of Tunis 2092 El Manar 2 Tunis Tunisia
Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 2, pp. 355-397.

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.

DOI : 10.5802/ambp.272
Classification : 42B35, 43A32, 35S30
Mots clés : Riemann-Liouville operator, Fourier transform, Paley-Wiener-Schwartz theorems
Lakhdar Tannech Rachdi 1 ; Ahlem Rouz 1

1 Department of Mathematics Faculty of Sciences of Tunis 2092 El Manar 2 Tunis Tunisia 
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Lakhdar Tannech Rachdi; Ahlem Rouz. On the range of the Fourier transform  connected with Riemann-Liouville operator. Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 2, pp. 355-397. doi : 10.5802/ambp.272. https://ambp.centre-mersenne.org/articles/10.5802/ambp.272/

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