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A sufficient condition for Nevanlinna parametrization and an extension of Heins theorem

Published online by Cambridge University Press:  22 January 2016

Sechiko Takahashi
Sechiko Takahashi*
Affiliation:
Department of Mathematics, Nara Women’s University, Nara 630-8506, Japan, sechiko@cc.nara-wu.ac.jp
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Abstract

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An extended interpolation problem on a Riemann surface is formulated in terms of local rings and ideals. A sufficient condition for Nevanlinna parametrization is obtained. By means of this, Heins theorem on Pick-Nevanlinna interpolation in doubly connected domains is generalized to extended interpolation.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 153 , 1999 , pp. 87 - 100
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

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