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

Sergiy Anatoliyovych Plaksa; Vitalii Stanislavovych Shpakivskyi

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

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Authors

Sergiy Anatoliyovych Plaksa
Vitalii Stanislavovych Shpakivskyi

Keywords:

three-dimensional harmonic algebra, Cauchy type integral, limiting values, Sokhotski–Plemelj formulas

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.

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Published

2012-06-30

How to Cite

Plaksa, S. A., & Shpakivskyi, V. S. (2012). Limiting values of the Cauchy type integral in a three-dimensional harmonic algebra. Eurasian Mathematical Journal, 3(2), 120–128. Retrieved from https://emj.enu.kz/index.php/main/article/view/795