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A simple proof of the matrix-valued Fejér--Riesz theorem - MaRDI portal

A simple proof of the matrix-valued Fejér--Riesz theorem (Q1021407)

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A simple proof of the matrix-valued Fejér--Riesz theorem
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    A simple proof of the matrix-valued Fejér--Riesz theorem (English)
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    8 June 2009
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    The paper presents a short proof of the matrix version of the classical theorem of Fejér and Riesz [see \textit{M.\,Rosenblatt}, Ark.\ Mat.\ 3, 407--424 (1958; Zbl 0084.35504) and \textit{H.\,Helson}, ``Lectures on invariant subspaces'' (New York and London:\ Academic Press) (1964; Zbl 0119.11303)].
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    Fejér-Riesz theorem
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    spectral factorization
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    Laurent polynomial
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