4 papers
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…