Outer factorizations in one and several variables

Details Outer factorizations in one and several variables Outer factorizations in one and several variables

2004-03-04

arxiv.org/abs/math/0403099v1

Mathematics

Functional Analysis

19 pages

Scientific paper

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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