Minimal realizations of generalized Nevanlinna functions

Minimal realizations of generalized Nevanlinna functions that carry the information on their generalized poles of nonpositive type in an explicit form are established. These realizations are based on a modification of the basic canonical factorization of generalized Nevanlinna functions whereby the...

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Bibliographic Details
Main Authors: Seppo Hassi, Hendrik Luit Wietsma
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2016-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol36/6/art/opuscula_math_3645.pdf
Description
Summary:Minimal realizations of generalized Nevanlinna functions that carry the information on their generalized poles of nonpositive type in an explicit form are established. These realizations are based on a modification of the basic canonical factorization of generalized Nevanlinna functions whereby the non-minimality problems in realizations that are based directly on the canonical factorization are circumvented.
ISSN:1232-9274