Augmented schur parameters for generalized nevanlinna functions and approximation

D. Alpay, A. Dijksma, H. Langer

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Schur parameters of a Schur function are a well-known concept in Schur analysis. Here we define the Schur transformation and the sequence of Schur parameters for a Nevanlinna function and a generalized Nevanlinna function. They are applied to approximate the Nevanlinna function or the generalized Nevanlinna function by rational ones.

Original languageEnglish
Title of host publicationSpectral Theory in Inner Product Spaces and Applications - 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, 2006
EditorsJussi Behrndt, Karl-Heinz Förster, Heinz Langer, Carsten Trunk
PublisherSpringer International Publishing
Pages1-30
Number of pages30
ISBN (Print)9783764389109
DOIs
StatePublished - 1 Jan 2008
Event6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, 2006 - Berlin, Germany
Duration: 14 Dec 200617 Dec 2006

Publication series

NameOperator Theory: Advances and Applications
Volume188
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Conference

Conference6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, 2006
Country/TerritoryGermany
CityBerlin
Period14/12/0617/12/06

Keywords

  • (−iJ)-unitary matrix function
  • Approximation
  • Generalized nevanlinna function
  • Schur algorithm
  • Schur parameter
  • Schur transform

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