On the Fueter-Sce theorem for generalized partial-slice monogenic functions
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909369622331392 |
|---|---|
| author | Xu, Zhenghua Sabadini, Irene |
| author_facet | Xu, Zhenghua Sabadini, Irene |
| contents | In a recent paper, we introduced the concept of generalized partial-slice monogenic functions. The class of these functions includes both the theory of monogenic functions and of slice monogenic functions with values in a Clifford algebra. In this paper, we prove a version of the Fueter-Sce theorem in this new setting, which allows to construct monogenic functions in higher dimensions starting from generalized partial-slice monogenic functions. We also prove that an alternative construction can be obtained by using the dual Radon transform. To this end, we provide a study of the generalized CK-extension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12545 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Fueter-Sce theorem for generalized partial-slice monogenic functions Xu, Zhenghua Sabadini, Irene Complex Variables In a recent paper, we introduced the concept of generalized partial-slice monogenic functions. The class of these functions includes both the theory of monogenic functions and of slice monogenic functions with values in a Clifford algebra. In this paper, we prove a version of the Fueter-Sce theorem in this new setting, which allows to construct monogenic functions in higher dimensions starting from generalized partial-slice monogenic functions. We also prove that an alternative construction can be obtained by using the dual Radon transform. To this end, we provide a study of the generalized CK-extension. |
| title | On the Fueter-Sce theorem for generalized partial-slice monogenic functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2311.12545 |