Tolstov`s Theorem in the Commutative Banach Algebra A3
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911689015820288 |
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| author | Tkachuk, M. V. |
| author_facet | Tkachuk, M. V. |
| contents | In this paper, the conditions of monogenicity are weakened for functions with values in a three-dimensional commutative algebra over the field of complex numbers. By monogenicity we mean continuity and the existence of the Gâteaux derivative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16185 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Tolstov`s Theorem in the Commutative Banach Algebra A3 Tkachuk, M. V. Complex Variables 30G35 In this paper, the conditions of monogenicity are weakened for functions with values in a three-dimensional commutative algebra over the field of complex numbers. By monogenicity we mean continuity and the existence of the Gâteaux derivative. |
| title | Tolstov`s Theorem in the Commutative Banach Algebra A3 |
| topic | Complex Variables 30G35 |
| url | https://arxiv.org/abs/2605.16185 |