4 papers · 1 filter
Monogenic functions over real alternative *-algebras: the several hypercomplex variables case
Zhenghua Xu, Chao Ding, Haiyan Wang
The notion of monogenic (or regular) functions, which is a correspondence of holomorphic functions, has been studied extensively in hypercomplex analysis, including quaternionic, o…
Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions
Manjie Hu, Chao Ding, Yifei Shen +1
The theory of generalized partial-slice monogenic functions is considered as a syhthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this pap…
Teodorescu transform for slice monogenic functions and applications
Chao Ding, Zhenghua Xu
In the past few years, the theory of slice monogenic functions has been developed rapidly mainly motivated by the applications to an elegant functional calculus for non-commuting o…
Invariance of iterated global differential operator for slice monogenic functions
Chao Ding, Zhenghua Xu
In this article, we present the symmetry group of a global slice Dirac operator and its iterated ones. Further, the explicit forms of intertwining operators of the iterated global…