5 papers · 1 filter
Weighted theory for the Euclidean Dirac operator in higher dimensions
Guangbin Ren, Yuchen Zhang
We study weighted solvability for the Euclidean Dirac operator in dimensions . We prove that, on the exterior domain with…
Convergence domains of sedenionic star-power series
Xinyuan Dou, Ming Jin, Guangbin Ren +1
The theory of slice regular (also called hyperholomorphic) functions is a generalization of complex analysis originally given in the quaternionic framework, and then further extend…
Zeroes of weakly slice regular functions of several quaternionic variables on non-axially symmetric domains
Xinyuan Dou, Ming Jin, Guangbin Ren +1
In this research, we study zeroes of weakly slice regular functions within the framework of several quaternionic variables, specifically focusing on non-axially symmetric domains.…
Algebra of slice regular functions on non-symmetric domains in several quaternionic variables
Xinyuan Dou, Ming Jin, Guangbin Ren +1
The primary objective of this paper is to establish an algebraic framework for the space of weakly slice regular functions over several quaternionic variables. We recently introduc…
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…