Analytic functions over valued fields
type: Item
instance of: scholarly article
title: Analytic functions over valued fields
zbMATH Open document ID: 0716.46060
DOI: 10.1155/S0161171290000370
author: V. Karunakaran
author: Rajesh Bhaskaran
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46551
review text: Let K be a non-archimedean, nontrivial valued complete field which is algebraically closed. Let further B and \(B^ 0\) denote the closed- and open unit ball of K. The authors solve the following problems: 1\(\circ)\) When is an analytic function defined on B or \(B^ 0\) with values in K injective? 2\(\circ)\) When does such a function have fixed points? In each of the two cases necessary and sufficient conditions are obtained.
Mathematics Subject Classification ID: 46S10
Mathematics Subject Classification ID: 47S10
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 4180130
zbMATH Keywords: non-archimedean, nontrivial valued complete field which is algebraically closed
zbMATH Keywords: analytic function
zbMATH Keywords: fixed points
MaRDI profile type: Publication
OpenAlex ID: W2109305312
description: scientific article; zbMATH DE number 4180130