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Izvestiya: Mathematics, 1999, Volume 63, Issue 4, Pages 791–825
DOI: https://doi.org/10.1070/im1999v063n04ABEH000258
(Mi im258)
 

This article is cited in 3 scientific papers (total in 3 papers)

On the index of operators with end symbol

A. P. Soldatov

Scientific Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Centre of the Russian Academy of Sciences
References:
Abstract: A study was made in [1] of the class of one-dimensional singular integral-functional equations closely connected with elliptic boundary-value problems on the plane in domains with piecewise-smooth boundaries. A criterion for the Fredholm property of these operators was formulated there in terms of the so-called end symbol. This symbol is a semi-almost periodic matrix-valued function assigned to the equation under consideration. In this paper we study this situation from a more general point of view.
Received: 19.11.1997
Bibliographic databases:
MSC: 47G10, 47B38
Language: English
Original paper language: Russian
Citation: A. P. Soldatov, “On the index of operators with end symbol”, Izv. Math., 63:4 (1999), 791–825
Citation in format AMSBIB
\Bibitem{Sol99}
\by A.~P.~Soldatov
\paper On the index of operators with end symbol
\jour Izv. Math.
\yr 1999
\vol 63
\issue 4
\pages 791--825
\mathnet{http://mi.mathnet.ru/eng/im258}
\crossref{https://doi.org/10.1070/im1999v063n04ABEH000258}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1717683}
\zmath{https://zbmath.org/?q=an:0972.47038}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746816223}
Linking options:
  • https://www.mathnet.ru/eng/im258
  • https://doi.org/10.1070/im1999v063n04ABEH000258
  • https://www.mathnet.ru/eng/im/v63/i4/p171
  • This publication is cited in the following 3 articles:
    1. Polosin A.A., “On One Degenerating Singular Integral Operator”, Differ. Equ., 57:10 (2021), 1413–1417  crossref  isi
    2. Soldatov A.P., “The algebra of singular operators with terminal symbol on a piecewise smooth curve: II. Basic constructions”, Differential Equations, 37:6 (2001), 866–879  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
    3. Soldatov A.P., “The algebra of singular operators with terminal symbol on a piecewise smooth curve: I. Convolution type operators on a semiaxis”, Differential Equations, 36:9 (2000), 1337–1347  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:466
    Russian version PDF:234
    English version PDF:30
    References:93
    First page:3
     
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