The work at hand discusses various universality results for locally univalent and conformal metrics.
In Chapter 2 several interesting approximation results are discussed. Runge-type Theorems for holomorphic and meromorphic locally univalent functions are shown. A well-known local approximation theorem for harmonic functions due to Keldysh is generalized to solutions of the curvature equation.
In Chapter 3 and 4 these approximation theorems are used to establish universality results for locally univalent functions and conformal metrics. In particular locally univalent analogues for well-known universality results due Birkhoff, Seidel & Walsh and Heins are shown. / In Kapitel 2 werden Runge-Sätze für holomorphe und meromorphe lokal schlichte Funktionen und ein lokaler Approximationsstaz für konforme Metriken mit negativer Krümmung bewiesen. Mithilfe dieser Sätze werden In Kapitel 3 und 4 Universalitätsresultate für lokal schlichte Funktionen und konforme Metriken gezeigt.
| Identifer | oai:union.ndltd.org:uni-wuerzburg.de/oai:opus.bibliothek.uni-wuerzburg.de:17717 |
| Date | January 2019 |
| Creators | Pohl, Daniel |
| Source Sets | University of Würzburg |
| Language | English |
| Detected Language | English |
| Type | doctoralthesis, doc-type:doctoralThesis |
| Format | application/pdf |
| Rights | https://creativecommons.org/licenses/by-nc-sa/4.0/deed.de, info:eu-repo/semantics/openAccess |
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