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

页码：326 / 345

页数：20

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