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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 3, Pages 631–655
DOI: https://doi.org/10.1070/IM1991v037n03ABEH002162 (Mi im1045) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Criteria for uniform invertibility of regular approximations of one-dimensional singular integral operators with piecewise continuous coefficients

V. S. Pilidi
English version PDF (1218 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM1991v037n03ABEH002162
Abstract: Criteria are obtained for applicability of approximation methods to a one-dimensional singular integral operator with piecewise continuous coefficients. These methods use families of strongly approximating operators with “cut out” singularity of the Cauchy kernel
Received: 12.05.1989
Bibliographic databases:
UDC: 517.9
MSC: Primary 45P05, 45E05, 45L05; Secondary 47G10
Language: English
Original paper language: Russian
Citation: V. S. Pilidi, “Criteria for uniform invertibility of regular approximations of one-dimensional singular integral operators with piecewise continuous coefficients”, Math. USSR-Izv., 37:3 (1991), 631–655
Citation in format AMSBIB
\Bibitem{Pil90}
\by V.~S.~Pilidi
\paper Criteria for uniform invertibility of regular approximations of one-dimensional singular integral operators with piecewise continuous coefficients
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 3
\pages 631--655
\mathnet{http://mi.mathnet.ru//eng/im1045}
\crossref{https://doi.org/10.1070/IM1991v037n03ABEH002162}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1098627}
\zmath{https://zbmath.org/?q=an:0739.45002|0714.45003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..631P}
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    • This publication is cited in the following 6 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:411
    Russian version PDF:117
    English version PDF:21
    References:70
    First page:1
     
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