Slice regular functions of several octonionic variables

Guangbin Ren; Ting Yang

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arXiv · 1812.04499

Slice regular functions of several octonionic variables

Guangbin Ren·Ting Yang

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Abstract

Octonionic analysis is becoming eminent due to the role of octonions in the theory of G2 manifold. In this article, a new slice theory is introduced as a generalization of the holomorphic theory of several complex variables to the noncommutative or nonassociative realm. The Bochner-Martinelli formula is established for slice functions of several octonionic variables as well as several quaternionic variables. In this setting, we find the Hartogs phenomena for slice regular functions

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Guangbin Ren, Ting Yang. 2018-12-10. Slice regular functions of several octonionic variables. https://arxiv.org/abs/1812.04499

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