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arXiv · 2604.02462

Remote temperature sensing in 2D and the Bergman kernel

Steven R. Bell·Leah McNabb
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Abstract

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.

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Steven R. Bell, Leah McNabb. 2026-04-02. Remote temperature sensing in 2D and the Bergman kernel. https://arxiv.org/abs/2604.02462

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