A Birkhoff theorem for Riemann surfaces
type: Item
instance of: scholarly article
title: A Birkhoff theorem for Riemann surfaces
zbMATH Open document ID: 0928.30029
author: Alfonso Montes-Rodriguez
published in: Rocky Mountain Journal of Mathematics
publication date: 1999-11-02T00:00:00Z
full work available at URL: cont282.html
review text: Let \(R\) be a noncompact Riemann surface and \(\{\phi_n\}_{n \geq 0}\) be a sequence of holomorphic self-mappings of \(R\). This paper is devoted to the generalization of the following classical Birkhoff theorem on \(R\): there exists an entire function \(f\) such that the sequence \(\{f(z+n))\}_{n \geq 0}\) is dense in the space of entire functions. The author shows (Theorem 3.1) when there exists a holomorphic function \(f\) on \(R\) such that \(\{f \circ \phi_n\}_{n \geq 0}\) is dense in the space of holomorphic functions on \(R\). Besides that there are considered some connections with this questions.
Mathematics Subject Classification ID: 30F99
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 1309738
reviewed by: P. Z. Agranovich
MaRDI profile type: Publication
OpenAlex ID: W2044692136
DOI: 10.1216/RMJM/1181071794
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description: scientific article; zbMATH DE number 1309738