Invariance of Iterated Global Differential Operator for Slice Monogenic Functions

In this article, we present the symmetry group of a global slice Dirac operator and its iterated ones. Further, the explicit forms of intertwining operators of the iterated global slice Dirac operator are given. At the end, we introduce a variant of the global slice Dirac operator, which allows func...

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Bibliographic Details
Published in:Computational methods and function theory Vol. 25; no. 3; pp. 735 - 752
Main Authors: Ding, Chao, Xu, Zhenghua
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01.09.2025
Subjects:
Decomposition
Differential equations
Euclidean geometry
Euclidean space
Invariance
Investigations
Operators (mathematics)
Symmetry
ISSN:1617-9447, 2195-3724
Online Access:Get full text
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Summary:In this article, we present the symmetry group of a global slice Dirac operator and its iterated ones. Further, the explicit forms of intertwining operators of the iterated global slice Dirac operator are given. At the end, we introduce a variant of the global slice Dirac operator, which allows functions considered to be defined on the whole Euclidean space. The invariance property and the intertwining operators of this variant of the global slice Dirac operator are also presented.
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ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-024-00551-6