Browsing 2010 MU dissertations - Freely available online by Thesis Department "Mathematics (MU)"
Now showing items 1-6 of 6
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Almost everywhere convergence for modified Bochner Riesz means at the critical index for [rho] [greater than or equal to] 2
(University of Missouri--Columbia, 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 Missouri--Columbia, 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 Missouri--Columbia, 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 Missouri--Columbia, 2010)Homogeneous and isotropic statistical solutions of the Navier-Stokes 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 Missouri--Columbia, 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 Missouri--Columbia, 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 ...