Sökning: "open mapping theorem"

Hittade 1 uppsats innehållade orden open mapping theorem.

  1. 1. The Open Mapping Theorem for Analytic Functions and some applications

    Magister-uppsats, Fakulteten för teknik- och naturvetenskap

    Författare :David Ström; [2006]
    Nyckelord :open mapping theorem; maximum modulus principle; maximum modulus theorem; Schwarz s lemma; Poincaré s half-plane model; conformal group; conformal representation; hyperbolic distance;

    Sammanfattning : 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 groups of conformal automorphisms of the unit disk and of the upper halfplane. LÄS MER