The Radon transform operator of entire functions of several complex variables
type: Item
instance of: scholarly article
title: The Radon transform operator of entire functions of several complex variables
zbMATH Open document ID: 1117.32002
author: D. E. Lomakin
published in: Russian Mathematics
publication date: 2007-05-22T00:00:00Z
review text: 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 \(H (\mathbb C^n)\).
Mathematics Subject Classification ID: 32A15
Mathematics Subject Classification ID: 44A12
zbMATH DE Number: 5155812
zbMATH Keywords: Radon transform
zbMATH Keywords: entire function of several complex variables
zbMATH Keywords: distribution
reviewed by: P. Z. Agranovich
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5155812