slice regular functions of several octonionic variables

Mathematics - Complex Variables FOS: Mathematics Complex Variables (math.CV) 0101 mathematics 01 natural sciences
DOI: 10.48550/arxiv.1812.04499 Publication Date: 2020-03-17
ABSTRACT
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 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.
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