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New range theorems for the dual Radon transform
Authors:Alexander Katsevich
Affiliation:Department of Mathematics, University of Central Florida, Orlando, Florida 32816
Abstract:

Three new range theorems are established for the dual Radon transform $R^*$: on $C^infty$ functions that do not decay fast at infinity (and admit an asymptotic expansion), on $mathcal{S}(Z_n)$, and on $C_0^infty(Z_n)$. Here $Z_n:=S^{n-1}timesmathbb{R}$, and $R^*$ acts on even functions $mu(alpha,p)=mu(-alpha,-p), (alpha,p)in Z_n$.

Keywords:Dual Radon transform   range theorems   asymptotic expansions
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