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
相关论文
共 50 条
  • [21] Boundary interpolation and rigidity for generalized Nevanlinna functions
    Alpay, Daniel
    Dijksma, Aad
    Langer, Heinz
    Reich, Simeon
    Shoikhet, David
    MATHEMATISCHE NACHRICHTEN, 2010, 283 (03) : 335 - 364
  • [22] Nevanlinna factorization in weighted classes of analytic functions of variable smoothness
    Shirokov, N. A.
    IZVESTIYA MATHEMATICS, 2021, 85 (03) : 582 - 604
  • [23] SLICES OF PARAMETER SPACES OF GENERALIZED NEVANLINNA FUNCTIONS
    Chen, Tao
    Keen, Linda
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (10) : 5659 - 5681
  • [24] Truncated moment problems in the class of generalized Nevanlinna functions
    Derkach, Vladimir
    Hassi, Seppo
    de Snoo, Henk
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (14-15) : 1741 - 1769
  • [25] A NEVANLINNA THEOREM FOR SUPERHARMONIC FUNCTIONS ON DIRICHLET REGULAR GREENIAN SETS
    Watson, Neil A.
    MATHEMATICA BOHEMICA, 2005, 130 (01): : 1 - 18
  • [26] Some Propositions on Generalized Nevanlinna Functions of the Class Nk
    Song, Yan-Ping
    Hao, Hui-Feng
    Hu, Yong-Jian
    Chen, Gong-Ning
    ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
  • [27] Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation
    Alpay, D.
    Dijksma, A.
    Langer, H.
    SPECTRAL THEORY IN INNER PRODUCT SPACES AND APPLICATIONS, 2009, 188 : 1 - +
  • [28] Asymptotic expansions of generalized Nevanlinna functions and their spectral properties
    Derkach, Vladimir
    Hassi, Seppo
    de Snoo, Henk
    OPERATOR THEORY IN INNER PRODUCT SPACES, 2007, 175 : 51 - 88
  • [29] Jl-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting
    Alpay, D.
    Dijksma, A.
    Langer, H.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (2-3) : 675 - 709
  • [30] Factorization of Generalized Theta Functions Revisited
    Sun, Xiaoto
    ALGEBRA COLLOQUIUM, 2017, 24 (01) : 1 - 52
12345