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.
Citation
Sechiko Takahashi. "A sufficient condition for Nevanlinna parametrization and an extension of Heins theorem." Nagoya Math. J. 153 87 - 100, 1999.
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