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- W4234620061 abstract "AbstractAs we have seen in Chapter 1 canonical factorization serves as tool to solve Wiener-Hopf integral equations and their discrete analogues, the block Toeplitz equations. In this chapter the state space factorization method developed in Chapter 2 is used to solve the problem of canonical factorization (necessary and sufficient conditions for its existence) and to derive explicit formulas for its factors. This is done in Section 6.1 for rational matrix functions. The results are applied to invert Wiener- Hopf integral equations (Section 6.2) and block Toeplitz operators (Section 6.3) with a rational matrix symbol.KeywordsUnit CircleOpen NeighborhoodFactorization TheoryCanonical FactorizationSpectral SubspaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W4234620061 created "2022-05-12" @default.
- W4234620061 date "2007-12-19" @default.
- W4234620061 modified "2023-10-16" @default.
- W4234620061 title "Canonical Factorization and Applications" @default.
- W4234620061 doi "https://doi.org/10.1007/978-3-7643-8268-1_7" @default.
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