Essays about: "maximum modulus principle"

Found 2 essays containing the words maximum modulus principle.

1. 1. A Comparison Of Harmonic And Holomorphic Functions

   University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

   Author : Adrian Daniel Renz; [2020]
   Keywords : harmonic; holomoephic; analysis;

   Abstract : Many results in real and complex analysis are the consequence of mean value properties and theorems. This is the case for harmonic and holomorphic functions as well. The mean value property builds the foundation for several properties of each set of functions. READ MORE

3. 2. The Open Mapping Theorem for Analytic Functions and some applications

   University essay from Fakulteten för teknik- och naturvetenskap

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

   Abstract : 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. READ MORE