Work

Almansi-type decomposition and Fueter-Sce theorem for generalized partial-slice regular functions

Year: 2024

Type: preprint

Abstract: 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 functions over Clifford algebras. Inspired by the work of A. Perotti, in this paper we provide two analogous versions of the Almansi decomposition in this new setting. Additionally, two enhancements of the Fueter-Sce theorem have been obtained for generalized partial-slice regular functions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2411.05571

Authors: Huo, Qinghai, Lian, Pan, Si, Jiajia, Xu, Zhenghua

Institutions: Hefei University of Technology, Tianjin Normal University

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Anhui Province

Awards: G1522328300, G5092148783, G8659189153

OpenAlex ID: W4404389822

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