A factorization of regular generalized Nevanlinna functions

被引：17
|
作者：
Luger, A [1 ]
机构：
[1] Vienna Tech Univ, Inst Anal & Tech Math, A-1040 Vienna, Austria
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2002年 / 43卷 / 03期
关键词：
D O I：
10.1007/BF01255567
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Q be a regular operator valued generalized Nevanlinna function with negative index kappa, i.e. Q is an element of N-kappa(H) It is shown that then there exists a rational function B(z), which collects the generalized poles and zeros of Q that are not of positive type such that the function B((z) over bar)*Q(z)B(z) belongs to the Nevanlinna class N-0(H).
引用
收藏
页码：326 / 345
页数：20
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