2018/12/10 by Guangbin Ren, Ting Yang, Ren, Guangbin +1
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #math.CV
paper · pdf · doi:10.48550/arxiv.1812.04499
arXiv admin note: text overlap with arXiv:1008.4318 by other authors
arxiv created 2018/12/10 · openalex publication_date 2018/12/10 · arxiv updated 2018/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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