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- W2070901657 abstract "The generalized Schur representation of a function matrix $Omega ( e^{itheta } )$ satisfying $| Omega |_infty leqq1$ is investigated in connection with certain results concerning the extensions of block-Hankel operators acting on Hilbert spaces. Various properties of such representations are elucidated, including a parametrization of $Omega ( e^{itheta } )$ in terms of a double sequence of Schur parameter matrices. Special attention is paid to the way in which the representation and parametrization of the shifted function $e^{iktheta } Omega (e^{itheta } )$ are related to those of $Omega ( e^{itheta } )$. In particular, the asymptotic behavior of the shifted representation for $k to pm infty $ is studied in detail. The whole theory is developed so as to be of direct use in the analysis of half-plane block-Toeplitz systems." @default.
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- W2070901657 date "1981-06-01" @default.
- W2070901657 modified "2023-09-25" @default.
- W2070901657 title "Generalized Schur Representation of Matrix-Valued Functions" @default.
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- W2070901657 doi "https://doi.org/10.1137/0602013" @default.
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