Concrete interpolation of meromorphic matrix functions on Riemann surfaces

被引：0

作者：

Ball, JA ^{[1
]}

Clancey, KF ^{[1
]}

Vinnikov, V ^{[1
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

来源：

INTERPOLATION THEORY, SYSTEMS THEORY AND RELATED TOPICS: THE HARRY DYM ANNIVERSARY VOLUME | 2002年 / 134卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work investigates concrete problems of interpolating matrix pole-zero data with multiple-valued meromorphic matrix functions on closed Riemann surfaces. In the case of genus g > 1, a condition sufficient for the existence of a solution having constant factor of automorphy is presented. Necessary and sufficient conditions are presented in the case where g = 1. A necessary and sufficient condition for single-valued matrix function interpolation in arbitrary genus is also established.

引用

页码：137 / 156

页数：20

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