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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Veröffentlicht in:Computational methods and function theory Jg. 25; H. 3; S. 735 - 752
Hauptverfasser: Ding, Chao, Xu, Zhenghua
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Heidelberg Springer Nature B.V 01.09.2025
Schlagworte:
Decomposition
Differential equations
Euclidean geometry
Euclidean space
Invariance
Investigations
Operators (mathematics)
Symmetry
ISSN:1617-9447, 2195-3724
Online-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-024-00551-6