On normal solvability of the riemann problem with singular coefficient

M. Rakowski, Ilya Spitkovsky

    Research output: Contribution to journalArticle

    Abstract

    Suppose G is a singular matrix function on a simple, closed, rectifiable contour F. We present a necessary and sufficient condition for normal solvability of the Riemann problem with coefficient G in the case where G admits a spectral (or generalized Wiener-Hopf) factorization G+ΛG- with G±1 essentially bounded. The boundedness of G±1 is not required when Γ takes injective values a.e. on F.

    Original languageEnglish (US)
    Pages (from-to)815-826
    Number of pages12
    JournalProceedings of the American Mathematical Society
    Volume125
    Issue number3
    StatePublished - Dec 1 1997

    Fingerprint

    Wiener-Hopf Factorization
    Singular Coefficients
    Singular Functions
    Singular matrix
    Matrix Function
    Factorization
    Injective
    Solvability
    Boundedness
    Cauchy Problem
    Necessary Conditions
    Closed
    Sufficient Conditions
    Coefficient

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

    On normal solvability of the riemann problem with singular coefficient. / Rakowski, M.; Spitkovsky, Ilya.

    In: Proceedings of the American Mathematical Society, Vol. 125, No. 3, 01.12.1997, p. 815-826.

    Research output: Contribution to journalArticle

    Rakowski, M. ; Spitkovsky, Ilya. / On normal solvability of the riemann problem with singular coefficient. In: Proceedings of the American Mathematical Society. 1997 ; Vol. 125, No. 3. pp. 815-826.
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