New unified Radon inversion formulas (Q1207375)

Two explicit inversion formulae are presented for the Radon transform of a function \(f(x)\in S(\mathbb{R}^ n)\), where \(S(\mathbb{R}^ n)\) stands for the Schwartz space of smooth rapidly decreasing functions. Every formula is suitable both for \(n\) even and \(n\) odd.