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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
Abstract
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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1999