Boundary integral formula for harmonic functions on Riemann surfaces
Complex Variables
2021-07-22 v2
Abstract
We construct a boundary integral formula for harmonic functions on open, smoothly-bordered subdomains of Riemann surfaces embeddable into . The formula may be considered as an analogue of the Green's formula for domains in .
Cite
@article{arxiv.1901.09868,
title = {Boundary integral formula for harmonic functions on Riemann surfaces},
author = {Peter L. Polyakov},
journal= {arXiv preprint arXiv:1901.09868},
year = {2021}
}