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On the range of the Fourier transform connected with Riemann-Liouville operator

Lakhdar Tannech Rachdi; Ahlem Rouz — 2009

Annales mathématiques Blaise Pascal

We characterize the range of some spaces of functions by the Fourier transform associated with the Riemann-Liouville operator $ℛ_{α}, α \geq 0$ and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schwartz theorems.

Weierstrass transform associated with the Hankel operator.

Omri, Slim; Rachdi, Lakhdar Tannech — 2009

Bulletin of Mathematical Analysis and Applications [electronic only]

Page 1

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