Outer factorizations in one and several variables
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math.OC
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outerfactorizationcasecoefficientsconditionsconsideredfactorizationsfejer-riesz
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A multivariate version of Rosenblum's Fejer-Riesz theorem on outer factorization of trigonometric polynomials with operator coefficients is considered. Due to a simplification of the proof of the single variable case, new necessary and sufficient conditions for the multivariable outer factorization problem are formulated and proved.
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