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Eurasian Mathematical Journal, 2012, Volume 3, Number 2, Pages 120–128 (Mi emj89)  
This article is cited in 1 scientific paper (total in 1 paper)

Limiting values of the Cauchy type integral in a three-dimensional harmonic algebra

S. A. Plaksa, V. S. Shpakivskyi

Department of Complex Analysis and Potential Theory, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev, Ukraine
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Abstract: We establish sufficient conditions for the existence of the limiting values of a certain analog of the Cauchy type integral taking values in a three-dimensional harmonic algebra with two-dimensional radical.
Keywords and phrases: three-dimensional harmonic algebra, Cauchy type integral, limiting values, Sokhotski–Plemelj formulas.
Received: 08.03.2012
Bibliographic databases:
Document Type: Article
MSC: 30G35, 30E25
Language: English
Citation: S. A. Plaksa, V. S. Shpakivskyi, “Limiting values of the Cauchy type integral in a three-dimensional harmonic algebra”, Eurasian Math. J., 3:2 (2012), 120–128
Citation in format AMSBIB
\Bibitem{PlaShp12}
\by S.~A.~Plaksa, V.~S.~Shpakivskyi
\paper Limiting values of the Cauchy type integral in a~three-dimensional harmonic algebra
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 2
\pages 120--128
\mathnet{http://mi.mathnet.ru/emj89}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3024123}
\zmath{https://zbmath.org/?q=an:1258.30026}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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