A remark on a polynomial matrix factorization theorem

Lasha Ephremidze, Ilya Spitkovsky

    Research output: Contribution to journalArticle

    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 languageEnglish (US)
    Pages (from-to)489-495
    Number of pages7
    JournalGeorgian Mathematical Journal
    Volume19
    Issue number3
    DOIs
    StatePublished - Sep 1 2012

    Fingerprint

    Polynomial Factorization
    Factorization Theorem
    Polynomial Matrices
    Matrix Factorization
    Trigonometric Polynomial
    Wiener-Hopf Factorization
    Matrix Function
    Polynomial function
    Partial

    Keywords

    • Polynomial matrix functions
    • Wiener-Hopf factorization

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

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

    In: Georgian Mathematical Journal, Vol. 19, No. 3, 01.09.2012, p. 489-495.

    Research output: Contribution to journalArticle

    Ephremidze, Lasha ; Spitkovsky, Ilya. / A remark on a polynomial matrix factorization theorem. In: Georgian Mathematical Journal. 2012 ; Vol. 19, No. 3. pp. 489-495.
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