TY  - THES
A1  - Pohl, Daniel
T1  - Universal Locally Univalent Functions and Universal Conformal Metrics
T1  - Universelle Lokal Schlichte Funktionen und Universelle Konforme Metriken
N2  - 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.
N2  - 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.
KW  - Schlichte Funktion
KW  - Konforme Metrik
KW  - Universal Functions
KW  - Conformal Metrics
KW  - Curvature Equation
KW  - Runge-type Theorems
Y1  - 2019
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-177174
ER  -