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arXiv · 2311.12545

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

Zhenghua Xu·Irene Sabadini
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Abstract

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 slice monogenic functions with values in a Clifford algebra. In this paper, we prove 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. To this end, we provide a study of the generalized CK-extension.

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Zhenghua Xu, Irene Sabadini. 2023-11-21. On the Fueter-Sce theorem for generalized partial-slice monogenic functions. https://doi.org/10.1007/s10231-024-01508-1

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