On a generalization of Smirnov's theorem with some applications

Lasha Ephremidze; Ilya Spitkovsky

doi:10.1515/gmj-2018-0021

On a generalization of Smirnov's theorem with some applications

Lasha Ephremidze, Ilya Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a certain generalization of Smirnov's theorem on functions from the Hardy spaces H p Hp . 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.

Original language	English (US)
Pages (from-to)	217-220
Number of pages	4
Journal	Georgian Mathematical Journal
Volume	25
Issue number	2
DOIs	https://doi.org/10.1515/gmj-2018-0021
State	Published - Jun 1 2018

Keywords

Smirnov's theorem
matrix spectral factorization
outer matrix functions

ASJC Scopus subject areas

General Mathematics

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10.1515/gmj-2018-0021

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abstract = "We present a certain generalization of Smirnov's theorem on functions from the Hardy spaces H p Hp . 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.",

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On a generalization of Smirnov's theorem with some applications

Abstract

Keywords

ASJC Scopus subject areas

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