Slice regular functions of several octonionic variables
Copyright policy )Slice regular functions of several octonionic variables
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.
- University of Science and Technology of China China (People's Republic of)
slice regular functions, octonions, Hartogs phenomenon, Functions of hypercomplex variables and generalized variables, Mathematics - Complex Variables, Bochner-Martinelli formula, FOS: Mathematics, Complex Variables (math.CV), Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
slice regular functions, octonions, Hartogs phenomenon, Functions of hypercomplex variables and generalized variables, Mathematics - Complex Variables, Bochner-Martinelli formula, FOS: Mathematics, Complex Variables (math.CV), Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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