Remote temperature sensing in 2D and the Bergman kernel
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866918426197360640 |
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| author | Bell, Steven R. McNabb, Leah |
| author_facet | Bell, Steven R. McNabb, Leah |
| contents | We explore the problem of estimating the steady state temperature in a two-dimensional domain at a point knowing the temperature to high order at another point. We find connections to the Bergman kernel of the domain, Runge's theorem, and approximate null quadrature identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02462 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Remote temperature sensing in 2D and the Bergman kernel Bell, Steven R. McNabb, Leah Complex Variables 30 We explore the problem of estimating the steady state temperature in a two-dimensional domain at a point knowing the temperature to high order at another point. We find connections to the Bergman kernel of the domain, Runge's theorem, and approximate null quadrature identities. |
| title | Remote temperature sensing in 2D and the Bergman kernel |
| topic | Complex Variables 30 |
| url | https://arxiv.org/abs/2604.02462 |