Browsing 2010 Freely available dissertations (MU) by Thesis Department "Mathematics"
Now showing items 16 of 6

Almost everywhere convergence for modified Bochner Riesz means at the critical index for [rho] [greater than or equal to] 2
(University of MissouriColumbia, 2010)The Fourier transform is a mathematical operation that can be used with its inverse to rewrite a function as a sum of waves. It has been a useful mathematical tool for many applied sciences. Sometimes Fourier inversion is ... 
Classical and impulse stochastic control on the optimization of the dividends for the terminal bankruptcy model and its application
(University of MissouriColumbia, 2010)In this dissertation, I discuss the optimization of dividends of reinsurance companies with the terminal bankruptcy model, in which some money would be returned to shareholders at the state of terminal bankruptcy, meanwhile ... 
Finite point configurations and projection theorems in vector spaces over finite fields
(University of MissouriColumbia, 2010)We study a variety of combinatorial distance and dot product related problems in vector spaces over finite fields. First, we focus on the generation of the Special Linear Group whose elements belong to a finite field with ... 
Measures on Hilbert spaces and applications to hydrodynamics
(University of MissouriColumbia, 2010)Homogeneous and isotropic statistical solutions of the NavierStokes equations are produced. These are shown to be approximated by Galyerkin statistical solutions on finite dimensional subspaces. Homogeneous and isotropic ... 
On the theory of integer sequences
(University of MissouriColumbia, 2010)We explore certain sequences of integers which appear in the number theory. We start by exploring properties of Beatty sequences. We concentrate on looking at the sum of primes from a Beatty sequence and properties of ... 
A transition matrix for two bases of the integral cohomology of the Hilbert scheme of points in the projective plane
(University of MissouriColumbia, 2010)This work is devoted to comparing two integral bases for the integral cohomology of the Hilbert scheme of points in the projective plane. Let X be a smooth complex projective surface. One of the more interesting moduli ...