On a generalization of Smirnov’s theorem with some applications

On a generalization of Smirnov’s theorem with some applications AbstractWe present a certain generalization of Smirnov’s theorem on functions from the Hardy spaces Hp{H_{p}}. We provide some applications of the proposed generalization. Namely, we give an equivalent characterization of outer analytic rectangular matrix functions, and give a simple proof of the uniqueness of spectral factorization of rank deficient matrices. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On a generalization of Smirnov’s theorem with some applications

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Publisher
De Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
D.O.I.
10.1515/gmj-2018-0021
Publisher site
See Article on Publisher Site

Abstract

AbstractWe present a certain generalization of Smirnov’s theorem on functions from the Hardy spaces Hp{H_{p}}. We provide some applications of the proposed generalization. Namely, we give an equivalent characterization of outer analytic rectangular matrix functions, and give a simple proof of the uniqueness of spectral factorization of rank deficient matrices.

Journal

Georgian Mathematical Journalde Gruyter

Published: Jun 1, 2018

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