Date of Award
Doctor of Philosophy
Jonathan D. H. Smith
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.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Choi, Dug-Hwan, "Support functions of convex subsets of a finite-dimensional real space " (1998). Retrospective Theses and Dissertations. 11913.