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arxiv: 1008.3122 · v1 · pith:K4QTP62Onew · submitted 2010-08-18 · 🧮 math.CV

Spectral Factorization of Rank-Deficient Polynomial Matrix-Functions

classification 🧮 math.CV
keywords matrix-functionsfactorizationpolynomialrank-deficientspectraltheoremconstructfirst
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A spectral factorization theorem is proved for polynomial rank-deficient matrix-functions. The theorem is used to construct paraunitary matrix-functions with first rows given.

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