Cauchy theorem for a surface integral in commutative algebras
Complex Variables
2013-05-21 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1305.4500,
title = {Cauchy theorem for a surface integral in commutative algebras},
author = {Sergiy A. Plaksa and Vitalii S. Shpakivskyi},
journal= {arXiv preprint arXiv:1305.4500},
year = {2013}
}