8 citations · 17 across the 7 of their papers we have counts for
8 papers
Octonionic Riesz-Dunford functional calculus
Qinghai Huo, Guangbin Ren, Irene Sabadini +1
The Riesz-Dunford functional calculus over the algebra of octonions, denoted by , has long been an open problem due to the nonassociativity of octonions. Two core obsta…
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…
Generalized partial-slice monogenic functions: the octonionic case
Zhenghua Xu, Irene Sabadini
In a recent paper [Trans. Amer. Math. Soc. 378 (2025), 851-883], the concept of generalized partial-slice monogenic (or regular) function was introduced over Clifford algebras. The…
Segal-Bargmann transform for generalized partial-slice monogenic functions
Zhenghua Xu, Irene Sabadini
The concept of generalized partial-slice monogenic functions has been recently introduced to include the two theories of monogenic functions and of slice monogenic functions over C…
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…
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…
On the Fueter-Sce theorem for generalized partial-slice monogenic functions
Zhenghua Xu, Irene Sabadini
In a recent paper, we introduced the concept of generalized partial-slice monogenic functions. The class of these functions includes both the theory of monogenic functions and of s…
Generalized partial-slice monogenic functions
Zhenghua Xu, Irene Sabadini
The two function theories of monogenic and of slice monogenic functions have been extensively studied in the literature and were developed independently; the relations between them…