The Schur transformation for generalized Nevanlinna functions: interpolation and self-adjoint operator realizations

DOI10.1007/s11785-006-0007-5zbMath1128.47016OpenAlexW1967582401WikidataQ124629935 ScholiaQ124629935MaRDI QIDQ998122

Yuri Shondin, Daniel Alpay, Heinz K. Langer, Aalt Dijksma

Publication date: 10 August 2007

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/2791296/2007ComplAnalOperThAlpay.pdf

zbMATH Keywords

interpolationSchur algorithmPontryagin spaceSchur transformationgeneralised Nevanlinna functionself-adjoint operator realization

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (5)

Schur Analysis in an Indefinite Setting ⋮ Convex cones of generalized positive rational functions and the Nevanlinna-Pick interpolation ⋮ Compressions of maximal dissipative and self-adjoint linear relations and of dilations ⋮ Interpolation by polynomials with symmetries ⋮ Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation

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