Extension sets for real analytic functions and applications to Radon transforms
type: Item
instance of: scholarly article
title: Extension sets for real analytic functions and applications to Radon transforms
zbMATH Open document ID: 0876.26019
DOI: 10.1155/S0161171296000889
author: Vernor Arguedas
author: R. Estrada
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1996-09-30T00:00:00Z
full work available at URL: https://eudml.org/doc/47731
review text: Summary: The real analytic character of a function \(f(x,y)\) is determined from its behavior along radial directions \(f_\theta(s)= f(s\cos\theta, s\sin \theta)\) for \(\theta\in E\), where \(E\) is a ``small'' set. A support theorem for Radon transforms in the plane is proved. In particular, if \(f_\theta\) extends to an entire function for \(\theta\in E\) and \(f(x,y)\) is real analytic in \(\mathbb{R}^2\) then it also extends to an entire function in \(\mathbb{C}^2\).
Mathematics Subject Classification ID: 26E05
Mathematics Subject Classification ID: 42A05
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 32A15
Mathematics Subject Classification ID: 32C05
zbMATH DE Number: 930037
zbMATH Keywords: real analytic functions of exponential type
zbMATH Keywords: Radon transforms
zbMATH Keywords: entire function
MaRDI profile type: Publication
OpenAlex ID: W1996941157
description: scientific article; zbMATH DE number 930037