19 citations · 85 across the 29 of their papers we have counts for
3 papers · 2 filters
A representation formula for slice regular functions over slice-cones in several variables
Xinyuan Dou, Guangbin Ren, Irene Sabadini
The aim of this paper is to extend the so called slice analysis to a general case in which the codomain is a real vector space of even dimension, i.e. is of the form $\mathbb{R}^{2…
Weak slice regular functions on the -dimensional quadratic cone of octonions
Xinyuan Dou, Guangbin Ren, Irene Sabadini +1
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to define slice regular functions in one variable: one consists in requiring that the…
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…