Functions of class \(\Pi\)

DOI10.1007/BF02107246zbMath0572.47005MaRDI QIDQ1062253

Damir Z. Arov

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

realization problemminimal extensionscompression of a J-inner functionholomorphic operator valued functionJ-inner extensionstransfer functions of linear systems

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

A block completion problem for matrix-valued inner functions

Cites Work

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• Passive linear stationary dynamic systems
• Cross ratio of a nondegenerate quadruple of subspaces
• Realization theory in Hilbert space for a class of transfer functions
• On unitary couplings with losses (scattering theory with losses)
• Boundary values of a convergent sequence of J-contractive matrix- functions
• Lossless chain scattering matrices and optimum linear prediction: The vector case
• On cyclic vectors of the backward shift
• The factorization problem for nonnegative operator valued functions

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