Remote temperature sensing in 2D and the Bergman kernel
Complex Variables
2026-04-06 v1
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.
Cite
@article{arxiv.2604.02462,
title = {Remote temperature sensing in 2D and the Bergman kernel},
author = {Steven R. Bell and Leah McNabb},
journal= {arXiv preprint arXiv:2604.02462},
year = {2026}
}