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math.CV2025
Monogenic functions over real alternative *-algebras: the several hypercomplex variables case
Zhenghua Xu, Chao Ding, Haiyan Wang
The notion of monogenic (or regular) functions, which is a correspondence of holomorphic functions, has been studied extensively in hypercomplex analysis, including quaternionic, o…
math.CV2024
Explicit Witt basis over the tensor product of Clifford algebras and octonions
Yong Li, Guangbin Ren, Haiyan Wang
In this article, we investigate how the Witt basis serves as a link between real and complex variables in higher-dimensional spaces. Our focus is on the detailed construction of th…