On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical

S. A. Plaksa, V. S. Shpakivskyi

Abstract


We consider a certain analog of Cauchy type integral taking values in a three-dimensional harmonic algebra with two-dimensional radical. We establish sufficient conditions for an existence of limiting values of this integral on the curve of integration.

Keywords


Three-dimensional harmonic algebra; Cauchy type integral; limiting values; closed Jordan rectifiable curve.

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References


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DOI: http://dx.doi.org/10.2478/v10062-012-0022-0
Date of publication: 2015-07-15 00:00:00
Date of submission: 2016-01-11 19:12:10


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