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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Vydáno v:Computational methods and function theory Ročník 25; číslo 3; s. 735 - 752
Hlavní autoři: Ding, Chao, Xu, Zhenghua
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg Springer Nature B.V 01.09.2025
Témata:
Decomposition
Differential equations
Euclidean geometry
Euclidean space
Invariance
Investigations
Operators (mathematics)
Symmetry
ISSN:1617-9447, 2195-3724
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-024-00551-6