The Schur algorithm for generalized Schur functions. III: \(J\)-unitary matrix polynomials on the circle.

DOI10.1016/S0024-3795(02)00734-6zbMath1068.47020OpenAlexW2137502534WikidataQ124629953 ScholiaQ124629953MaRDI QIDQ1399923

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

Publication date: 30 July 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00734-6

zbMATH Keywords

reproducing kernel Pontryagin spacegeneralized Schur algorithmgeneralized Schur functionJ-unitary matrix polynomial

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) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (6)

Schur Analysis in an Indefinite Setting ⋮ \(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting ⋮ On the convergence of Padé approximations for generalized Nevanlinna functions ⋮ Factorization of \(J\)-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions ⋮ A Schur transformation for functions in a general class of domains ⋮ Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation

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