Observations on Convexity

<p>This thesis will explore convexity as it pertains to sets of complex-valued functions. These include preliminary looks at established linear and polynomially convex hulls, along with the development of new types of convex hulls. These types will include, but are not limited to the hulls determined by inversions, shift inversions, and Mobius transformations. A convex hull must be preceded by the set of functions involved. These hulls are the smallest convex sets that contain the original set. Justifications and precise definitions are included within the body of the work.</p>

Name thesis:degree_name

Master of Science - Mathematical Sciences

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics and Statistics

Year dc:date.available

2017

Author dc:creator

• Huckaby, Chad A

Contributors dc:contributor

• Roy Joseph Harris
• Sarah Triana Stovall
• Clint Richardson

• complex analysis
• functional convexity
• convex hull
• Analysis

Repository record dc:identifier

https://scholarworks.sfasu.edu/etds/88

OAI identifier oai:identifier

oai:scholarworks.sfasu.edu:etds-1091