This article is cited 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.

MSC: 30G35, 30E25

Received: 08.03.2012

Language: English

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