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Outer factorizations in one and several variables

  • Dritschel M
  • Woerdeman H
Transactions of the American Mathematical Society (2005) 357(11) 4661-4679
DOI: 10.1090/s0002-9947-05-03814-6
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Abstract

A multivariate version of Rosenblum’s Fejér-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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Dritschel, M., & Woerdeman, H. (2005). Outer factorizations in one and several variables. Transactions of the American Mathematical Society, 357(11), 4661–4679. https://doi.org/10.1090/s0002-9947-05-03814-6

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