3 papers
math.CV2026
On the Fueter-Sce theorem and Cauchy-Kovalevskaya extensions over alternative -algebras
Qinghai Huo, Irene Sabadini, Zhenghua Xu
Recently, the concept of generalized partial-slice monogenic (or regular) functions has been introduced and studied over Clifford algebras and octonions, respectively. In this pape…
math.SP2024
Power-bounded quaternionic operators
Qinghai Huo, Zhenghua Xu
Recently, the conception of slice regular functions was allowed to introduce a new quaternionic functional calculus, among which the theory of semigroups of linear operators was de…
math.CV2024
Almansi-type decomposition and Fueter-Sce theorem for generalized partial-slice regular functions
Qinghai Huo, Pan Lian, Jiajia Si +1
Very recently, the concept of generalized partial-slice monogenic (or regular) functions has been introduced to unify the theory of monogenic functions and of slice monogenic funct…