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Mathematics of the USSR-Izvestiya, 1984, Volume 23, Issue 2, Pages 307–352
DOI: https://doi.org/10.1070/IM1984v023n02ABEH001773 (Mi im1435) 		 
This article is cited in 23 scientific papers (total in 23 papers)

An algebra of singular integral operators with piecewise-continuous coefficients and a piecewise-smooth shift on a composite contour

Yu. I. Karlovich, V. G. Kravchenko
English version PDF (2481 kB) Citations (23)
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DOI: https://doi.org/10.1070/IM1984v023n02ABEH001773
Abstract: A method is developed for investigating the Noetherian property of operators of a particular kind, prototypes of which are singular integral operators with a shift (SIOS). The algebra of symbols of SIOS is constructed. Questions of invertibility of the symbols are considered. Algorithms are obtained for verifying conditions for the Noetherian property and for computing the index of SIOS.
Bibliography: 31 titles.
Received: 30.09.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1983, Volume 47, Issue 5, Pages 1030–1077
Bibliographic databases:
UDC: 517.948.32
MSC: Primary 45P05, 47G05, 47A53; Secondary 45E99
Language: English
Original paper language: Russian
Citation: Yu. I. Karlovich, V. G. Kravchenko, “An algebra of singular integral operators with piecewise-continuous coefficients and a piecewise-smooth shift on a composite contour”, Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983), 1030–1077; Math. USSR-Izv., 23:2 (1984), 307–352
Citation in format AMSBIB
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\by Yu.~I.~Karlovich, V.~G.~Kravchenko
\paper An algebra of singular integral operators with piecewise-continuous coefficients and a~piecewise-smooth shift on a~composite contour
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1983
\vol 47
\issue 5
\pages 1030--1077
\mathnet{http://mi.mathnet.ru/im1435}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=718415}
\zmath{https://zbmath.org/?q=an:0565.47009}
\transl
\jour Math. USSR-Izv.
\yr 1984
\vol 23
\issue 2
\pages 307--352
\crossref{https://doi.org/10.1070/IM1984v023n02ABEH001773}
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  • https://www.mathnet.ru/eng/im/v47/i5/p1030
    • This publication is cited in the following 23 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
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    Abstract page:454
    Russian version PDF:133
    English version PDF:24
    References:65
    First page:1
     
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