Proper holomorphic mappings in several complex variables

A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\doubc\sp{N}$ is proper if the sequence $\{f(zj)\}$ tends to the boundary of $\Omega$ for every sequence $\{zj\}$ which tends to the boundary of D. Let f be a proper holomorphic mapping from the unit ball in $\doubc\sp{n}$ to the unit ball in $\doubc\sp{N}$ for $N \ge n \ge 2.$ If f is a function of class $C\sp{N-n+1}$ on the closed unit ball and also satisfies a certain non-degeneracy condition, then Cima and Suffridge proved that f must be rational.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Setya-Budhi, Marcus Wono

Contributors dc:contributor

• Haboush, William J.

• Mathematics

Statement dc:rights

• Copyright 1993 Setya-Budhi, Marcus Wono

Language dc:language

eng

Identifier

AAI9411781
(UMI)AAI9411781

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21458