scientific article; zbMATH DE number 1069265

zbMath0894.47006MaRDI QIDQ4358794

Eduard Tsekanovskii, Sergey Belyi

Publication date: 20 November 1997

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

characteristic functionsrealization problemslinear-fractional transformationsBrodskiĭ-Livšic rigged operator colligationsdirect and inverse realization theoremslinear stationary conservative dynamic systemsoperator-valued \(R\)-functionstransfer operator-valued functions

Mathematics Subject Classification ID

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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A system coupling and Donoghue classes of Herglotz-Nevanlinna functions ⋮ A general realization theorem for matrix-valued Herglotz--Nevanlinna functions ⋮ On realization of the Kreĭn-Langer class N_κ of matrix-valued functions in Pontryagin spaces ⋮ Sectorial Stieltjes functions and their realizations by L‐systems with a Schrödinger operator ⋮ Perturbations of orthogonal polynomials with periodic recursion coefficients ⋮ Pairs of selfadjoint operators and their invariants ⋮ On Krein's formula in the case of non-densely defined symmetric operators ⋮ Perturbations of Donoghue classes and inverse problems for L-systems ⋮ Interpolation theory in sectorial Stieltjes classes and explicit system solutions ⋮ Accretive (*)-extensions and Realization Problems

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