Spherical Mean Operator Fourier Transform Paley-Wiener-Schawrtz Theorems 42B35 43A32 35S30
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 339p-402p
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.