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math.CV2013
Holomorphic functions in generalized Cayley-Dickson algebras
Cristina Flaut, Vitalii Shpakivskyi
In this paper we investigated holomorphic functions (belonging to the kernel of the Dirac operator) in Cayley-Dickson algebras. For this purpose, we study the structure of Cayley-D…
math.CV2013
Cauchy theorem for a surface integral in commutative algebras
Sergiy A. Plaksa, Vitalii S. Shpakivskyi
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 arbit…