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arXiv · 2007.14925

Slice regular functions in several variables

Riccardo Ghiloni·Alessandro Perotti
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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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Riccardo Ghiloni, Alessandro Perotti. 2020-07-29. Slice regular functions in several variables. https://doi.org/10.1007/s00209-022-03066-9

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