The Radon transform operator of entire functions of several complex variables (Q881252)

Let \(H (\mathbb C^n)\) be the space of entire functions with the topology of uniform convergence on compact sets. The author obtains the following results: 1) the explicit form of the Radon transform for functions from \(H (\mathbb C^n)\) (Theorem 1); 2) the inverse formula for the Radon transform (Theorem 2); 3) uniqueness conditions of the Radon transform for the functions of the space \(H (\mathbb C^n)\).