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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 3, Pages 86–96 (Mi smj1655)  
This article is cited in 1 scientific paper (total in 1 paper)

To the question of integration along fractal plane contours

B. A. Kats
Full-text PDF (1137 kB) Citations (1)
Abstract: A generalization of the contour integral is introduced in the case of a plane contour composed of nonrectifiable arcs. Dependence of the properties of the integral upon the fractal dimension of the contour is described and interrelation is clarified between the problem of constructing a generalized contour integral and one of the main boundary value problems for holomorphic functions, the jump problem.
Received: 12.03.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 3, Pages 472–480
DOI: https://doi.org/10.1007/BF00971222
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: B. A. Kats, “To the question of integration along fractal plane contours”, Sibirsk. Mat. Zh., 34:3 (1993), 86–96; Siberian Math. J., 34:3 (1993), 472–480
Citation in format AMSBIB
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\by B.~A.~Kats
\paper To the question of integration along fractal plane contours
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 3
\pages 86--96
\mathnet{http://mi.mathnet.ru/smj1655}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1241171}
\zmath{https://zbmath.org/?q=an:0808.30025}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 3
\pages 472--480
\crossref{https://doi.org/10.1007/BF00971222}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LR86400008}
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  • https://www.mathnet.ru/eng/smj/v34/i3/p86
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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