Invariance of iterated global differential operator for slice monogenic functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909317253300224 |
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| author | Ding, Chao Xu, Zhenghua |
| author_facet | Ding, Chao Xu, Zhenghua |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09949 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariance of iterated global differential operator for slice monogenic functions Ding, Chao Xu, Zhenghua Complex Variables 30G35 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. |
| title | Invariance of iterated global differential operator for slice monogenic functions |
| topic | Complex Variables 30G35 |
| url | https://arxiv.org/abs/2409.09949 |