• Applications of the fourier transform to convex geometry 

    Yaskin, Vladyslav, 1974- (University of Missouri--Columbia, 2006)
    The thesis is devoted to the study of various problems arising from Convex Geometry and Geometric Functional Analysis using tools of Fourier Analysis. In chapters two through four we consider the Busemann-Petty problem and ...
  • Topics in functional analysis and convex geometry 

    Yaskina, Maryna, 1979- (University of Missouri--Columbia, 2006)
    In this thesis we study different problems in Convex Geometry with the aid of the Fourier Transform and tools of Functional Analysis. In the second chapter we construct an example of a non-intersection body all of whose ...