Schur-class of finitely connected planar domains: the test-function approach

We study the structure of the set of extreme points of the compact convex set of matrix-valued holomorphic functions with positive real part on a finitely-connected planar domain R normalized to have value equal to the identity matrix at some prescribed point t0 in R. This leads to an integral repre...

Full description

Bibliographic Details
Main Author: Guerra Huaman, Moises Daniel
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/27334
http://scholar.lib.vt.edu/theses/available/etd-04262011-111257/