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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…
math.CV2024
Dunkl approach to slice regular functions
Giulio Binosi, Hendrik De Bie, Pan Lian
In this paper, we establish a connection between Dunkl analysis and slice analysis in the setting of Clifford algebras. Specifically, we show that a Clifford algebra-valued functio…
math.CV2024
Radon-type transforms for holomorphic and Hermitian monogenic functions
Ren Hu, Pan Lian
The standard Radon transform of holomorphic functions is not always well defined, as the integration of such functions over planes may not converge. In this paper, we introduce new…