Browsing by Thesis Department "Mathematics (MU)"
Now showing items 120 of 134

The absolute functional calculus for sectorial operators
(University of MissouriColumbia, 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 ... 
Agedependent Branching Processes and Applications to the LuriaDelbrck Experiment
(University of MissouriColumbia, 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
(University of MissouriColumbia, 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
(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 ... 
Applications of fourier analysis to intersection bodies
(University of MissouriColumbia, 2008)The concept of an intersection body is central for the dual BrunnMinkowski theory and has played an important role in the solution of the BusemannPetty problem. A more general concept of [kappa]intersection bodies is ... 
Applications of the fourier transform to convex geometry
(University of MissouriColumbia, 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 BusemannPetty problem and ... 
Approximate isometries and distortion energy functionals
(University of MissouriColumbia, 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
(University of MissouriColumbia, 2009)We show that a separable real Banach space embeds almost isometrically in a space [Upsilon] with a shrinking 1unconditional 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
(University of MissouriColumbia, 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 Lpdata and nontangential maximal function estimates, (ii) the Neumann problem with Lpdata and ... 
Box approximation and related techniques in spectral theory
(University of MissouriColumbia, 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 ... 
CalderonZygmund theory for singular integral operators associated with secondorder elliptic partial differential systems on rough subdomains of Riemannian manifolds
(University of MissouriColumbia, 2016)This dissertation is a treatise on the theory of CalderonZygmund type singular integral operators capable of handling boundary layer potentials arising naturally in the treatment of elliptic boundary value problems on ... 
A class of Gorenstein Artin algebras of embedding dimension four
(University of MissouriColumbia, 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
(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 ... 
Coefficient theorems of BiranconSkoda type
(University of MissouriColumbia, 2011)The original Brian conSkoda 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
(University of Missouri, 1913)In Part I of this paper, I have dealt with only wellknown 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
(University of MissouriColumbia, 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 almostcomplex structures on six dimensional manifolds
(University of MissouriColumbia, 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
(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 ... 
Conformal mappings and the SchwarzChristoffel transformation
(University of MissouriColumbia, 2017)Let ? be an open and connected set in the complex plane. A mapping f : ? ? C is said to be conformal at a point z0 if it preserves angles and orientation between curves intersecting at z0. We discuss tangent lines and their ... 
Constant proportion portfolio insurance and related topics with empirical study
(University of MissouriColumbia, 2012)The concept of Constant Proportion Portfolio Insurance (CPPI) in terms of jumpdiffusion, as well as the associated meanvariance hedging problem, has been studied. Three types of risk related to: the probability of loss, ...