Browsing 2008 MU dissertations  Freely available online by Thesis Advisor "Koldobsky, Alexander, 1955"
Now showing items 12 of 2

Applications of fourier analysis to intersection bodies
(University of MissouriColumbia, 2008)The concept of an intersection body is central for the dual BrunnMinkowski theory and has played an important role in the solution of the BusemannPetty problem. A more general concept of [kappa]intersection bodies is ... 
Sections of complex convex bodies
(University of MissouriColumbia, 2008)The main idea of the Fourier analytic approach to sections of convex bodies is to express different parameters of a body in terms of the Fourier transform and then apply methods of Fourier analysis to solve geometric ...