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On the Range of the Fourier Transform Associated with the Spherical Mean Operator

Jelassi, M.; Rachdi, L. — 2004

Fractional Calculus and Applied Analysis

We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.

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