3 papers
math.CV2020
Extension theorem and representation formula in non-axially symmetric domains for slice regular functions
Xinyuan Dou, Guangbin Ren, Irene Sabadini
Slice analysis is a generalization of the theory of holomorphic functions of one complex variable to quaternions. Among the new phenomena which appear in this context, there is the…
math.CV2018
Riemann slice-domains over quaternions II
Xinyuan Dou, Guangbin Ren
We generalize the representation formula from slice-domains of regularity to general Riemann slice-domains. This result allows us to extend the -product of slice regular functio…
math.CV2018
Riemann slice-domains over quaternions I
Xinyuan Dou, Guangbin Ren
We construct a counterexample to a well-known extension theorem for slice regular functions, which motivates us to develop a theory of Riemann slice-domains by introducing a new to…