5 papers
Monogenic functions over real alternative *-algebras: fundamental results and applications
Qinghai Huo, Guangbin Ren, Zhenghua Xu
The concept of monogenic functions over real alternative -algebras has recently been introduced to unify several classical monogenic (or regular) functions theories in hyperc…
Octonionic isometric isomorphisms and partial isometry
Qinghai Huo, Guangbin Ren, Zhenghua Xu
Very recently, two new notions of para-linear mappings and weak associative orthonormal bases were introduced in octonionic functional analysis, which have been proved to be powerf…
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…
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…
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…