• The absolute functional calculus for sectorial operators 

    Kucherenko, Tamara (University of Missouri--Columbia, 2005)
    We introduce the absolute functional calculus for sectorial operators. This notion is stronger than the common holomorphic functional calculus. We are able to improve a key theorem related to the maximal regularity problem ...
  • Algebraic resolution of formal ideals along a valuation 

    El Hitti, Samar, 1979- (University of Missouri--Columbia, 2008)
    Let X be a possibly singular complete algebraic variety, defined over a field [kappa] of characteristic zero. X is nonsingular at [rho] [element of] X if OX,[rho] is a regular local ring. The problem of resolution of ...
  • Almost everywhere convergence for modified Bochner Riesz means at the critical index for [rho] [greater than or equal to] 2 

    Annoni, Marco, 1981- (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 ...
  • 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 ...
  • 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 ...
  • Approximate isometries and distortion energy functionals 

    Bihun, Oksana, 1980- (University of Missouri--Columbia, 2009)
    A fundamental problem in Riemannian Geometry and related areas is to determine whether two diffeomorphic compact Riemannian manifolds (M, [subscript g][subscript M]) and (N, [subscript g][subscript N]) are isometric; that ...
  • Asymptotic unconditionality in Banach spaces 

    Cowell, Simon, 1977- (University of Missouri--Columbia, 2009)
    We show that a separable real Banach space embeds almost isometrically in a space [Upsilon] with a shrinking 1-unconditional basis if and only if lim [subscript n] [subscript arrow] [subscript infinity] [norms] [chi] [group ...
  • Boundary value problems for the Stokes system in arbitrary Lipschitz domains 

    Wright, Matthew E., 1980- (University of Missouri--Columbia, 2008)
    The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and ...
  • Box approximation and related techniques in spectral theory 

    Borovyk, Vita, 1979- (University of Missouri--Columbia, 2008)
    This dissertation is concerned with various aspects of the spectral theory of differential and pseudodifferential operators. It consists of two chapters. The first chapter presents a study of a family of spectral shift ...
  • A class of Gorenstein Artin algebras of embedding dimension four 

    El Khoury, Sabine, 1978- (University of Missouri--Columbia, 2007)
    Let R be a polynomial ring in n variables and I be a homogeneous ideal in R. Such an ideal I is called Gorenstein if the quotient R/I has a free resolution over R which is both self dual. In 2005 Iarrobino and Srinivasan ...
  • Classical and impulse stochastic control on the optimization of the dividends for the terminal bankruptcy model and its application 

    Chen, Peimin, 1978- (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 ...
  • Coefficient theorems of Birancon-Skoda type 

    Hosry, Aline (University of Missouri-Columbia, 2011)
    The original Brian con-Skoda theorem, proved for the ring of convergent power series over the field ℂ of complex numbers, was later generalized to arbitrary regular local rings by Lipman and Sathaye, who showed that if ...
  • Complemented block bases of symmetric bases and spectral tetris fusion frame constructions 

    Heinecke, Andreas (University of Missouri--Columbia, 2012)
    This work contains of two parts which are totally unrelated. In the first part we consider techniques surrounding the problem whether a complemented subspace spanned by a block basis of a Banach space with unconditional ...
  • Complex and almost-complex structures on six dimensional manifolds 

    Brown, James Ryan, 1977- (University of Missouri--Columbia, 2006)
    We investigate the properties of hypothetical exotic complex structures on three dimensional complex projective space CP³. This is motivated by the long standing question in differential geometry of whether or not the six ...
  • Constant proportion portfolio insurance and related topics with empirical study 

    Wang, Mingming (University of Missouri--Columbia, 2012)
    The concept of Constant Proportion Portfolio Insurance (CPPI) in terms of jump-diffusion, as well as the associated mean-variance hedging problem, has been studied. Three types of risk related to: the probability of loss, ...
  • Dichotomy theorems for evolution equations 

    Pogan, Alexandru Alin, 1976- (University of Missouri--Columbia, 2008)
    In the first part of this work, under minimal assumptions, we characterize the Fredholm property and compute the Fredholm index of abstract differential operators -d/dt + A([dot]) acting on spaces of functions R [arrow] ...
  • Directional time-frequency analysis with applications 

    Sansing, Christopher, 1979- (University of Missouri--Columbia, 2006)
    The purpose of this dissertation is to introduce a new directionally-sensitive time frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction ...
  • Distributional estimates for multilinear operators 

    Bilyk, Dmytro, 1979- (University of Missouri--Columbia, 2005)
    We prove that if a multilinear operator and all its adjoints map L1 x x L1 to L1/m,oo, then the distribution function of the operator applied to characteristic functions of sets of finite measure has exponential decay at ...
  • The Effects of Math Recovery on the Low-Performing Mathematics Student 

    Rossiter, Robert F. (2012)
    This study examined the effectiveness of the course, Math Recovery, on a group of ninth-grade students enrolled in the course Algebra/Geometry I measured by course grades and subsequent tenth-grade MAP scores. In addition, ...
  • Endpoint solvability results for divergence form, complex elliptic equations 

    Mourgoglou, Michail (University of Missouri--Columbia, 2011)
    We consider divergence form elliptic equations Lu := ∇ • (A∇u) = 0 in the half space ℝn+1+ := {(x,t)∈ ℝn x (0,∞)}, whose coeffi cient matrix A is complex elliptic, bounded and measurable. In addition, we suppose that ...