Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type

Y. I. Karlovich, Ilya Spitkovsky

    Research output: Contribution to journal › Article

    Abstract

    The authors study n- and d-normality and compute the index of systems of singular integral equations with a semi-almost periodic matrix-valued coefficient G, as well as the index of operators of convolution type on the half-line and a finite interval converging to it. At the base of the investigation lies factorization with almost periodic factors of matrix-valued functions describing the asymptotics of G at ŷ 蜴.

    Original languageEnglish (US)
    Pages (from-to)281-316
    Number of pages36
    JournalMathematics of the USSR - Izvestija
    Volume34
    Issue number2
    DOIs
    StatePublished - Apr 30 1990

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    Noether
    Almost Periodic
    Normality
    Convolution
    Factorization
    Describing Function
    Singular Integral Equation
    Half line
    Interval
    Coefficient
    Operator
    Class

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type. / Karlovich, Y. I.; Spitkovsky, Ilya.

    In: Mathematics of the USSR - Izvestija, Vol. 34, No. 2, 30.04.1990, p. 281-316.

    Research output: Contribution to journal › Article

    Karlovich, YI & Spitkovsky, I 1990, 'Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type', Mathematics of the USSR - Izvestija, vol. 34, no. 2, pp. 281-316. https://doi.org/10.1070/IM1990v034n02ABEH000646
    Karlovich YI, Spitkovsky I. Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type. Mathematics of the USSR - Izvestija. 1990 Apr 30;34(2):281-316. https://doi.org/10.1070/IM1990v034n02ABEH000646
    Karlovich, Y. I. ; Spitkovsky, Ilya. / Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type. In: Mathematics of the USSR - Izvestija. 1990 ; Vol. 34, No. 2. pp. 281-316.
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