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Eurasian Mathematical Journal, 2012, Volume 3, Number 2, Pages 120–128
(Mi emj89)
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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
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
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
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https://www.mathnet.ru/eng/emj89 https://www.mathnet.ru/eng/emj/v3/i2/p120
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Abstract page: | 291 | Full-text PDF : | 74 | References: | 41 |
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