DARLINGTON REALIZATION OF MATRIX-VALUED FUNCTIONS

DOI10.1070/IM1973v007n06ABEH002088zbMath0316.30037OpenAlexW1978769704MaRDI QIDQ4075748

Damir Z. Arov

Publication date: 1975

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1973v007n06abeh002088

Mathematics Subject Classification ID

Related Items (18)

On block completion problems for \(j_{qq}-J_ q\)-inner functions. II: The case of a given \(q\times q\) block ⋮ On the representation of a class of contractive matrix-valued functions ⋮ Completion problems for \(j_{pq}\)-inner functions. II ⋮ On subclasses of the caratheodory class with matricial extremal property^* ⋮ On the multiplicity of Darlington realizations of contractive matrix- valued functions ⋮ A general realization theorem for matrix-valued Herglotz--Nevanlinna functions ⋮ Regular Extensions and Defect Functions of Contractive Measurable Operator-Valued Functions ⋮ A block completion problem for matrix-valued inner functions ⋮ On a local Darlington synthesis problem ⋮ Completion problems for \(j_{pq}\)-inner functions. I ⋮ On degenerate interpolation, entropy and extremal problems for matrix Schur functions ⋮ Direct and inverse scattering for selfadjoint Hamiltonian systems on the line ⋮ j-expansive matrix-valued functions and Darlington realization of transfer-scattering matrices ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. V: The inverse input scattering problem for Wiener class and rational \(p\times q\) input scattering matrices ⋮ An inverse entropy optimization problem for matrix-valued carathéodory functions ⋮ On spectrally associated Schur functions, Arov-inner functions and a Nehari-type completion problem for Schur functions ⋮ On block completion problems for \(j_{qq}-J_ q\)-inner functions. I: The case of a given block column

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