The Schur algorithm for generalized Schur functions. II: Jordan chains and transformations of characteristic functions

DOI10.1007/S00605-002-0528-6zbMath1043.47014OpenAlexW2113136625WikidataQ124629952 ScholiaQ124629952MaRDI QIDQ1396180

Daniel Alpay, Aalt Dijksma, Heinz K. Langer, Tomas Ya. Azizov

Publication date: 25 August 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/3008765/2003MonatshMathAlpay.pdf

zbMATH Keywords

determinantSchur algorithmSchur functionJordan chainoperator colligationmeromorphic

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (4)

Schur Analysis in an Indefinite Setting ⋮ \(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting ⋮ The Schur algorithm for generalized Schur functions. III: \(J\)-unitary matrix polynomials on the circle. ⋮ Factorization of \(J\)-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions

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