• 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 ...
  • Age-dependent Branching Processes and Applications to the Luria-Delbrck Experiment 

    Oveys, Hesam (University of Missouri--Columbia, 2015)
    Microbial populations adapt to their environment by acquiring advantageous mutations, but in the early twentieth century, questions about how these organisms acquire mutations arose. The experiment of Salvador Luria and ...
  • 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 ...
  • A collection of graphs to accompany certain topics in the study of function theory of a real variable 

    Eversole, Ruth (University of Missouri, 1913)
    In Part I of this paper, I have dealt with only well-known properties of functions - treating them from the graphic standpoint entirely and referring the reader, to the best authorities I could find, for the Algebraic ...
  • 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 ...
  • Conditionally convergent vector series 

    McIntire, Harry W. (University of Missouri, 1914)
    In this paper we propose to study the behavior of series of complex numbers, or of vectors in two dimensions; and to generalize this study to the case of vectors in n dimensions. The particular properties to be studied are ...
  • 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, ...
  • Convergence of an infinite series 

    Hamlin, Truman Leigh (University of Missouri, 1902)
    This thesis gives some of the more important tests for the convergence of an infinite series; also the conditions that must be fulfilled in order that certain operations and transformations may be applied to an infinite series.
  • Convergence of infinite series 

    Moore, Carl Manford (University of Missouri, 1900)
    We shall define an infinite series as a succession of series formed after sum definite law. Most generally the series are actual numbers or are at least regarded as constraints, and we are concerned with their sum. There ...