The Open Mapping Theorem for Analytic Functions and some applications

The Open Mapping Theorem for Analytic Functions and some applications

This thesis deals with the Open Mapping Theorem for analytic functions on domains in the complex plane: A non-constant analytic function on an open subset of the complex plane is an open map. As applications of this fundamental theorem we study Schwarz’s Lemma and its consequences concerning the gro...

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Bibliographic Details
Main Author: Ström, David
Format: Others
Language:English
Published: Karlstads universitet, Fakulteten för teknik- och naturvetenskap 2006
Subjects:
open mapping theorem
maximum modulus principle
maximum modulus theorem
Schwarz's lemma
Poincaré's half-plane model
conformal group
conformal representation
hyperbolic distance
MATHEMATICS
MATEMATIK
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-210

Internet

http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-210

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