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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2605.09901 |
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| _version_ | 1866918493943758848 |
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| author | Dou, Xinyuan Ren, Guangbin Zhu, Zeping Yang, Ting |
| author_facet | Dou, Xinyuan Ren, Guangbin Zhu, Zeping Yang, Ting |
| contents | This paper is concerned with a class of generalized slice Fueter-regular functions on arbitrary domains in O with local stem functions. Some classical theorems such as the maximum modulus principle will be generalized to our setting. Some new phenomena such as the conditional uniqueness of stem vectors will be discovered by means of new technical tools, e.g., the CCL equivalence relation and the Bers-Vekua continuation. And a natural connection between the theory of slice Fueter-regular functions and that of Riemann domains will be revealed via the quotient space under the CCL equivalence relation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09901 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Slice Fueter-regular functions on arbitrary domains in octonions Dou, Xinyuan Ren, Guangbin Zhu, Zeping Yang, Ting Complex Variables This paper is concerned with a class of generalized slice Fueter-regular functions on arbitrary domains in O with local stem functions. Some classical theorems such as the maximum modulus principle will be generalized to our setting. Some new phenomena such as the conditional uniqueness of stem vectors will be discovered by means of new technical tools, e.g., the CCL equivalence relation and the Bers-Vekua continuation. And a natural connection between the theory of slice Fueter-regular functions and that of Riemann domains will be revealed via the quotient space under the CCL equivalence relation. |
| title | Slice Fueter-regular functions on arbitrary domains in octonions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2605.09901 |