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arXiv · 1901.09868

Boundary integral formula for harmonic functions on Riemann surfaces

Peter L. Polyakov
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Abstract

We construct a boundary integral formula for harmonic functions on open, smoothly-bordered subdomains of Riemann surfaces embeddable into $\C\P^2$. The formula may be considered as an analogue of the Green's formula for domains in $\C$.

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Peter L. Polyakov. 2019-01-28. Boundary integral formula for harmonic functions on Riemann surfaces. https://arxiv.org/abs/1901.09868

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