A slice theory of several octonionic variables is introduced in the article as a generalization of the holomorphic theory of several complex variables. Our new trick is to focus our attentions on some subset of ${\mathbb{O}}^n$ with the same complex structures. In our setting, the Bochner‐Martinelli formula and the Hartogs extension theorems are established for slice functions of several octonionic variables.

中文翻译：

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切片几个正离子变量的正则函数

文章介绍了几个八元变数的切片理论，作为对几个复杂变数的全纯理论的概括。我们的新技巧是将注意力集中在${\mathbb{Ø}}^{ñ}$具有相同的复杂结构。在我们的环境中，建立了Bochner-Martinelli公式和Hartogs扩展定理，以用于多个正离子变量的切片函数。