2 papers
math.CV2024
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…
math.CV2024
A new approach to slice analysis via slice topology
X. Dou, M. Jin, G. Ren +1
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show…