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Mathematics of the USSR-Izvestiya, 1990, Volume 34, Issue 2, Pages 281–316
DOI: https://doi.org/10.1070/IM1990v034n02ABEH000646
(Mi im1241)
 

This article is cited in 35 scientific papers (total in 35 papers)

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

Yu. I. Karlovich, I. M. Spitkovsky
References:
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 $\pm\infty$.
Bibliography: 38 titles.
Received: 04.06.1985
Revised: 03.08.1987
Bibliographic databases:
UDC: 517.518.6+517.968.25
MSC: Primary 45E10; Secondary 35Q15, 30E25, 47A53, 42A75, 47A68
Language: English
Original paper language: Russian
Citation: Yu. I. Karlovich, I. M. Spitkovsky, “Factorization of almost periodic matrix-valued functions and the Noether theory for certain classes of equations of convolution type”, Math. USSR-Izv., 34:2 (1990), 281–316
Citation in format AMSBIB
\Bibitem{KarSpi89}
\by Yu.~I.~Karlovich, I.~M.~Spitkovsky
\paper Factorization of almost periodic matrix-valued functions and the Noether theory for certain classes of equations of convolution type
\jour Math. USSR-Izv.
\yr 1990
\vol 34
\issue 2
\pages 281--316
\mathnet{http://mi.mathnet.ru//eng/im1241}
\crossref{https://doi.org/10.1070/IM1990v034n02ABEH000646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=998297}
\zmath{https://zbmath.org/?q=an:0691.45007|0681.45003}
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  • https://doi.org/10.1070/IM1990v034n02ABEH000646
  • https://www.mathnet.ru/eng/im/v53/i2/p276
  • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:491
    Russian version PDF:162
    English version PDF:19
    References:91
    First page:1
     
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