Integral formulas and Hodge decomposition in the theory of generalized partial-slice mo-nogenic functions
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910059384012800 |
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| author | Hu, Manjie Ding, Chao |
| author_facet | Hu, Manjie Ding, Chao |
| contents | This paper explores generalized slice monogenic functions by introducing their operator symbols, representation formula, and integral formula. The study extends the Teodorescu transform to a broader class of theorems and inferences, providing new analytical tools for function theory in this setting. Additionally, the Hodge decomposition is established, providing a foundation for further research. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18529 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integral formulas and Hodge decomposition in the theory of generalized partial-slice mo-nogenic functions Hu, Manjie Ding, Chao Complex Variables 30G35, 32A30, 44A05 This paper explores generalized slice monogenic functions by introducing their operator symbols, representation formula, and integral formula. The study extends the Teodorescu transform to a broader class of theorems and inferences, providing new analytical tools for function theory in this setting. Additionally, the Hodge decomposition is established, providing a foundation for further research. |
| title | Integral formulas and Hodge decomposition in the theory of generalized partial-slice mo-nogenic functions |
| topic | Complex Variables 30G35, 32A30, 44A05 |
| url | https://arxiv.org/abs/2603.18529 |