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@inproceedings{BellAnIR, title={An Improved Riemann Mapping Theorem and Complexity in Potential Theory}, author={Steven R. Bell} }

We discuss applications of an improvement on the Riemann mapping theorem which replaces the unit disc by another “double quadrature domain,” i.e., a domain that is a quadrature domain with respect to both area and boundary arc length measure. Unlike the classic Riemann Mapping Theorem, the improved theorem allows the original domain to be finitely connected… CONTINUE READING

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