Towards an Effectivisation of the Riemann Theorem

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The Riemann Theorem states, that for any nontrivial connected and simply connected domain on the Riemann sphere there exists some its conformal bijection to the exterior of the unit disk. In this paper we find an explicit form of this map for a broad class of domains with analytic boundaries.
22 pages, AmsTex, Corrected typos

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Complex Variables, Mathematical Physics, 30D30; 37K10

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http://salesiana.dossiersoluciones.com/handle/123456789/68560

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309228
 http://arxiv.org/abs/math/0309228

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arXiv