An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912230849642496 |
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| author | Plaksa, S. A. Shpakivskyi, V. S. Tkachuk, M. V. |
| author_facet | Plaksa, S. A. Shpakivskyi, V. S. Tkachuk, M. V. |
| contents | We prove that a locally bounded and differentiable in the sense of Gateaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differentiable in the sense of Lorch. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08809 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra Plaksa, S. A. Shpakivskyi, V. S. Tkachuk, M. V. Complex Variables Analysis of PDEs 13-11 We prove that a locally bounded and differentiable in the sense of Gateaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differentiable in the sense of Lorch. |
| title | An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra |
| topic | Complex Variables Analysis of PDEs 13-11 |
| url | https://arxiv.org/abs/2502.08809 |