On the relation between the Darlington realizations of matrix functions from the Carathéodory class and their \(J_{p,r}\)-inner SI-dilations

DOI10.1134/S0001434611110204zbMath1296.30058OpenAlexW2046915494MaRDI QIDQ2435876

Natalia Rozhenko, Damir Z. Arov

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611110204

zbMATH Keywords

meromorphic functionCarathéodory class of functionsDarlington realization of matrix functionsSI (scattering-impedance)-dilationSmirnov class of functions

Mathematics Subject Classification ID

Structure theory of linear operators (47A65) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Nevanlinna spaces and Smirnov spaces (30H15)

Cites Work

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• On the theory of passive resistance systems with losses of scattering channels
• Input–Output Description of Roomy Systems
• On the Theory of Matrix Valued Functions Belonging to the Smirnov Class
• Passive impedance systems with losses of scattering channels

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