Interpolation theory in sectorial Stieltjes classes and explicit system solutions

DOI10.1016/S0024-3795(00)00113-0zbMath1050.47015MaRDI QIDQ1580529

Daniel Alpay, Eduard Tsekanovskii

Publication date: 2000

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

zbMATH Keywords

interpolationsectorial operatorsStieltjes functionsautomorphisms of rational matrix-valued functions

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (6)

A system coupling and Donoghue classes of Herglotz-Nevanlinna functions ⋮ A general realization theorem for matrix-valued Herglotz--Nevanlinna functions ⋮ On realization of the original Weyl-Titchmarsh functions by Shrödinger L-systems ⋮ Sectorial Stieltjes functions and their realizations by L‐systems with a Schrödinger operator ⋮ Perturbations of Donoghue classes and inverse problems for L-systems ⋮ On sectorial L-systems with Shrödinger operator

Cites Work

• Simultaneous residue interpolation problems for rational matrix functions
• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• Minimal factorization of matrix and operator functions
• Interpolation of rational matrix functions
• Topics in interpolation theory of rational matrix-valued functions
• An addendum to Krein's formula
• \(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization
• The two-sided residue interpolation in the Stieltjes class of matrix functions
• Perturbation theory for linear operators.
• Nevanlinna Functions, Perturbation Formulas, and Triplets of Hilbert Spaces
• On Matrix-Valued Herglotz Functions
• Theory of Reproducing Kernels
• Sectorial extensions of a positive operator and the characteristic function
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II
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