A general realization theorem for matrix-valued Herglotz–Nevanlinna functions-Reference-Cited by-同舟云学术

A general realization theorem for matrix-valued Herglotz–Nevanlinna functions

Published:2006-12 Issue:2-3 Volume:419 Page:331-358
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Belyi Sergey,Hassi Seppo,de Snoo Henk,Tsekanovskiiˇ Eduard

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference50 articles.

1. Schur functions, operator colligations, and reproducing kernel Pontryagin spaces;Alpay,1997

2. Interpolation theory in sectorial Stieltjes classes and explicit system solutions;Alpay;Linear Algebra Appl.,2000

3. D. Alpay, E.R. Tsekanovskii˘, Subclasses of Herglotz–Nevanlinna matrix-valued functions and linear systems, in: J. Du, S. Hu (Eds.), Dynamical Systems and Differential Equations, An added volume to Discrete and Continuous Dynamical Systems, 2001, pp. 1–14.

4. On inverse problem of the theory of characteristic functions of unbounded operator colligations;Arlinskii˘;Dopovidi Akad. Nauk Ukrain. RSR 2, Ser. A,1976

5. Linear systems with Schrödinger operators and their transfer functions;Arlinskii˘;Oper. Theory Adv. Appl.,2004

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems;Complex Analysis and Operator Theory;2024-05-30

2. Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation;Physical Review B;2023-02-23

3. Operator-Valued Nevanlinna–Herglotz Functions, Trace Ideals, and Sergey Naboko’s Contributions;From Complex Analysis to Operator Theory: A Panorama;2023

4. On Realization of the Original Weyl–Titchmarsh Functions by Shrödinger L-systems;Complex Analysis and Operator Theory;2020-11-25

5. A generalization of Schur functions: Applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks;Advances in Mathematics;2018-02