On the Caratheodory-Fejer interpolation problem for generalized Schur functions

被引:8
作者
Bolotnikov, V [1 ]
机构
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
关键词
Caratheodory-Fejer interpolation; generalized Schur functions;
D O I
10.1007/s00020-003-1220-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The solutions of the Caratheodory-Fejer interpolation problem for generalized Schur functions can be parametrized via a linear fractional transformation over the class of classical Schur functions. The linear fractional transformation of some of these functions may have a pole (simple or multiple) in one or more of the interpolation points or not satisfy one or more interpolation conditions, hence not all Schur functions can serve as a parameter. The set of excluded parameters is characterized in terms of the related Pick matrix.
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页码:9 / 41
页数:33
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