Bitangential interpolation in generalized Schur classes

DOI10.1007/s11785-009-0031-3zbMath1218.30088arXiv0901.1171OpenAlexW2043241339MaRDI QIDQ611116

Harry Dym, Vladimir A. Derkach

Publication date: 14 December 2010

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

Full work available at URL: https://arxiv.org/abs/0901.1171

zbMATH Keywords

linear fractional transformationcoprime factorizationbitangential interpolationgeneralized Schur class

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Moment problems and interpolation problems in the complex plane (30E05) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (8)

de Branges–Rovnyak Spaces and Norm-Constrained Interpolation ⋮ Applications of de Branges Spaces of Vector-Valued Functions ⋮ Reflection positivity via Krein space analysis ⋮ An easy-to-compute factorization of rational generalized positive functions ⋮ Convex cones of generalized positive rational functions and the Nevanlinna-Pick interpolation ⋮ A generalized tangent interpolation problem ⋮ Generalized γ-generating matrices and Nehari-Takagi problem ⋮ A generalized Schur-Takagi interpolation problem

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