Degree Type

Dissertation

Date of Award

1998

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Jonathan D. H. Smith

Abstract

The main aim of this thesis is to extend the concept of the support function from bounded non-empty convex sets. The idea is to find a suitable codomain Dd+/-, replacing the codomain R of Minkowski's support functions, so that convex subsets of Rd are determined uniquely by their D d+/--valued support functions defined on Rd. Conditions must also be found, characterizing the support functions among all the Dd +/--valued functions on Rd.

DOI

https://doi.org/10.31274/rtd-180813-10832

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Dug-Hwan Choi

Language

en

Proquest ID

AAI9911587

File Format

application/pdf

File Size

60 pages

Included in

Mathematics Commons

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