On a generalization of Smirnov's theorem with some applications

Lasha Ephremidze, Ilya Spitkovsky

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)217-220
Number of pages4
JournalGeorgian Mathematical Journal
Volume25
Issue number2
DOIs
StatePublished - Jun 1 2018

Fingerprint

Spectral Factorization
Matrix Function
Hardy Space
Theorem
Uniqueness
Generalization

Keywords

  • matrix spectral factorization
  • outer matrix functions
  • Smirnov's theorem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On a generalization of Smirnov's theorem with some applications. / Ephremidze, Lasha; Spitkovsky, Ilya.

In: Georgian Mathematical Journal, Vol. 25, No. 2, 01.06.2018, p. 217-220.

Research output: Contribution to journalArticle

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