4 papers · 1 filter
Domains of existence of slice regular functions in one quaternionic variable
Xinyuan Dou, Ming Jin, Guangbin Ren +1
Recently, we introduced domains of slice regularity in the space of quaternions and also proved that domains of slice regularity satisfy a symmetry with respect to pat…
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…
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…
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…