Slice regular functions in several variables

Published 29 Jul 2020 in math.CV and math.RA | (2007.14925v1)

Abstract: In this paper, we lay the foundations of the theory of slice regular functions in several variables ranging in any real alternative $^*$-algebra, including quaternions, octonions and Clifford algebras. This theory is an extension of the classical theory of holomorphic functions in several complex variables.

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