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arXiv · 1305.4500

Cauchy theorem for a surface integral in commutative algebras

Sergiy A. Plaksa·Vitalii S. Shpakivskyi
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Abstract

We prove an analogue of the Cauchy integral theorem for hyperholomorphic functions given in three-dimensional domains with non piece-smooth boundaries and taking values in an arbitrary finite-dimensional commutative associative Banach algebra.

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Sergiy A. Plaksa, Vitalii S. Shpakivskyi. 2013-05-20. Cauchy theorem for a surface integral in commutative algebras. https://arxiv.org/abs/1305.4500

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