• Applications of fourier analysis to intersection bodies 

    Schlieper, Jared (University of Missouri--Columbia, 2008)
    The concept of an intersection body is central for the dual Brunn-Minkowski theory and has played an important role in the solution of the Busemann-Petty problem. A more general concept of [kappa]-intersection bodies is ...
  • Sections of complex convex bodies 

    Zymonopoulou, Maria-Isavella, 1973- (University of Missouri--Columbia, 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 ...