A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917299769835520 |
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| author | Plaksa, S. A. Pukhtaievych, R. |
| author_facet | Plaksa, S. A. Pukhtaievych, R. |
| contents | We consider a Riemann boundary value problem for monogenic functions in a two-dimensional commutative associative Banach algebra. We prove theorems on the existence of a solution to this problem under different assumptions on the coefficient and free term of the problem, and give an explicit formula for the solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_24137 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra Plaksa, S. A. Pukhtaievych, R. Complex Variables 30G35, 30E25, 46J15 We consider a Riemann boundary value problem for monogenic functions in a two-dimensional commutative associative Banach algebra. We prove theorems on the existence of a solution to this problem under different assumptions on the coefficient and free term of the problem, and give an explicit formula for the solution. |
| title | A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra |
| topic | Complex Variables 30G35, 30E25, 46J15 |
| url | https://arxiv.org/abs/2602.24137 |