4 papers
Slice Fueter-regular functions on arbitrary domains in octonions
Xinyuan Dou, Guangbin Ren, Zeping Zhu +1
This paper is concerned with a class of generalized slice Fueter-regular functions on arbitrary domains in O with local stem functions. Some classical theorems such as the maximum…
convex characteristics of quaternionic positive definite functions on abelian groups
Zeping Zhu
This paper is concerned with the topological space of normalized quaternion-valued positive definite functions on an arbitrary abelian group G, especially its convex characteristic…
Spectral characterization of quaternionic positive definite functions on the real line
Zeping Zhu
This paper is concerned with the spectral characteristics of quaternionic positive definite functions on the real line. We generalize the Stone's theorem to the case of a right qua…
Scaling limits of discrete holomorphic functions
Guangbin Ren, Zeping Zhu
One of the most natural and challenging issues in discrete complex analysis is to prove the convergence of discrete holomorphic functions to their continuous counterparts. This art…