B-regular J-inner Matrix-valued Functions

DOI10.1007/978-3-0348-0221-5_3zbMath1294.47035OpenAlexW100614036MaRDI QIDQ2915188

Harry Dym, Damir Z. Arov

Publication date: 21 September 2012

Published in: A Panorama of Modern Operator Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0221-5_3

zbMATH Keywords

canonical systemsreproducing kernel Hilbert spacesde Branges spacesJ-inner matrix-valued functionsLivshits-Brodskij nodes

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Control/observation systems governed by ordinary differential equations (93C15) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations
• Some Hilbert spaces of analytic functions. II, III
• An introduction to de Branges spaces of entire functions with applications to differential equations of the Sturm-Liouville type
• The multiplicative structure of 𝐽-contractive matrix functions
• Some Hilbert Spaces of Analytic Functions
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