About generalized zeros of non-regular generalized Nevanlinna functions

被引：5
|
作者：
Luger, A [1 ]
机构：
[1] Tech Univ Vienna, Inst Anal & Tech Math, A-1040 Vienna, Austria
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2003年 / 45卷 / 04期
关键词：
generalized Nevanlinna function; generalized zero;
D O I：
10.1007/s000200300016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The definition of a generalized zero is extended to those operator valued generalized Nevanlinna functions Q is an element of N-K(H) which are not regular. Differences to the regular case are pointed out and it is shown that also for a singular generalized Nevanlinna function Q E X (R) there exists a rational function B(z) which collects the generalized poles and zeros that are not of positive type, such that the function B((z) over bar)*Q(z)B(z) belongs to the Nevanlinna class No(H).
引用
收藏
页码：461 / 473
页数：13
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