Work

On the Fueter–Sce theorem for generalized partial-slice monogenic functions

Year: 2024

Type: article

Abstract: In a recent paper, we introduced the concept of generalized partial-slice monogenic functions. The class of these functions includes both monogenic functions and slice monogenic functions with values in a Clifford algebra. In this paper, we establish a version of the Fueter–Sce theorem in this new setting, which allows to construct monogenic functions in higher dimensions starting from generalized partial-slice monogenic functions. We also prove that an alternative construction can be obtained by using the dual Radon transform. It turns out that these two constructions are closely related to the generalized CK-extension.

Source: Annali di Matematica Pura ed Applicata (1923 -)

DOI: 10.1007/s10231-024-01508-1

Authors: Zhenghua Xu, Irene Sabadini

Institutions: Hefei University of Technology, Politecnico di Milano

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: National Natural Science Foundation of China, Politecnico di Milano, Natural Science Foundation of Anhui Province