Outer factorizations in one and several variables
Functional Analysis
2007-05-23 v1 Optimization and Control
Abstract
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.
Cite
@article{arxiv.math/0403099,
title = {Outer factorizations in one and several variables},
author = {Michael A. Dritschel and Hugo J. Woerdeman},
journal= {arXiv preprint arXiv:math/0403099},
year = {2007}
}
Comments
19 pages