3 papers
math.CV2026
The Four-Point Picard Theorem for Quaternionic Slice Regular Functions
Guangbin Ren, Xin Zhao
An entire slice regular function can omit four prescribed quaternionic values only in the affine-dependent case. More precisely, four affinely independent…
math.CV2023
Octonionic Dirac operators in bounded lattices: convergence and Plemlj projections
Guangbin Ren, Xin Zhao
This article explores octonionic analysis on the lattice , emphasizing the octonionic discrete Cauchy integral within a bounded domain, the Sokhotski-Plemelj jump form…
math.RA2022
The twisted group algebra structure of the Cayley-Dickson algebra
Guangbin Ren, Xin Zhao
The Cayley-Dickson algebra has long been a challenge due to the lack of an explicit multiplication table. Despite being constructible through inductive construction, its explicit s…