### Abstract

The Wiener-Hopf factorization of trigonometric polynomial matrix functions is considered and it is proved that the factors are matrices of trigonometric polynomials as well. The natural bounds for partial indices and for orders of the factors are obtained.

Original language | English (US) |
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Pages (from-to) | 489-495 |

Number of pages | 7 |

Journal | Georgian Mathematical Journal |

Volume | 19 |

Issue number | 3 |

DOIs | |

State | Published - Sep 1 2012 |

### Fingerprint

### Keywords

- Polynomial matrix functions
- Wiener-Hopf factorization

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Georgian Mathematical Journal*,

*19*(3), 489-495. https://doi.org/10.1515/gmj-2012-0029

**A remark on a polynomial matrix factorization theorem.** / Ephremidze, Lasha; Spitkovsky, Ilya.

Research output: Contribution to journal › Article

*Georgian Mathematical Journal*, vol. 19, no. 3, pp. 489-495. https://doi.org/10.1515/gmj-2012-0029

}

TY - JOUR

T1 - A remark on a polynomial matrix factorization theorem

AU - Ephremidze, Lasha

AU - Spitkovsky, Ilya

PY - 2012/9/1

Y1 - 2012/9/1

N2 - The Wiener-Hopf factorization of trigonometric polynomial matrix functions is considered and it is proved that the factors are matrices of trigonometric polynomials as well. The natural bounds for partial indices and for orders of the factors are obtained.

AB - The Wiener-Hopf factorization of trigonometric polynomial matrix functions is considered and it is proved that the factors are matrices of trigonometric polynomials as well. The natural bounds for partial indices and for orders of the factors are obtained.

KW - Polynomial matrix functions

KW - Wiener-Hopf factorization

UR - http://www.scopus.com/inward/record.url?scp=84870372008&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870372008&partnerID=8YFLogxK

U2 - 10.1515/gmj-2012-0029

DO - 10.1515/gmj-2012-0029

M3 - Article

AN - SCOPUS:84870372008

VL - 19

SP - 489

EP - 495

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

SN - 1572-9176

IS - 3

ER -