Browsing College of Arts and Sciences (MU) by Thesis Department "Mathematics (MU)"
Now showing items 21-40 of 178
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Coefficient theorems of Birancon-Skoda type
(University of Missouri--Columbia, 2011)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The original Briancon-Skoda theorem, proved for the ring of convergent power series over the field $mathbb{C}$ of complex numbers, was later generalized ... -
A collection of graphs to accompany certain topics in the study of function theory of a real variable
(University of Missouri--Columbia, 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
(University of Missouri--Columbia, 2012)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This work contains of two parts which are totally unrelated. In the first part we consider techniques surrounding the problem whether a complemented ... -
Complex and almost-complex structures on six dimensional manifolds
(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
(University of Missouri--Columbia, 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 Schwarz-Christoffel transformation
(University of Missouri--Columbia, 2017)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let [omega] be an open and connected set in the complex plane. A mapping f : [omega] [right arrow] C is said to be conformal at a point z0 if it ... -
Constant proportion portfolio insurance and related topics with empirical study
(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
(University of Missouri--Columbia, 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
(University of Missouri--Columbia, 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 ... -
Counterexamples to Strichartz Type Inequalities
(University of Missouri--Columbia, 2013)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The study of Strichartz s inequality is very important in the theory of nonlinear Shrodinger equations. The inequalities do not hold for all choice of ... -
Counting theorems and inverse function theorems for analytic functions
(University of Missouri--Columbia, 2017)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In this master's thesis, we discuss the counting and Rouche's theorems. These theorems are used to find the roots of complex analytic functions.Also, ... -
Critical perturbations of elliptic operators by lower order terms
(University of Missouri--Columbia, 2021)In this work we study issues of existence and uniqueness of solutions of certain boundary value problems for elliptic equations in the upper half-space. More specifically we treat the Dirichlet, Neumann, and Regularity ... -
Definition of improper groups by means of axioms : a dissertation
(University of Missouri--Columbia, 1906)Essentially, a group is an associative field, in which the inverse combinations are uniquely possible. This is a concise statement of the classical definition of a group. The conditions which it connotes will be used here ... -
Dichotomy theorems for evolution equations
(University of Missouri--Columbia, 2008)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In the first part of this work, under minimal assumptions, we characterize the Fredholm property and compute the Fredholm index of abstract differential ... -
Directional time-frequency analysis with applications
(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 ... -
The Dirichlet problem for elliptic and degenerate elliptic equations, and related results
(University of Missouri--Columbia, 2016)In this thesis, we first prove the solvability of Dirichlet problem with Lp data on the boundary for degenerate elliptic equations. Second, We obtain Lp bounds semi-groups and their gradients, and then we get Lp bounds for ... -
Distributional estimates for multilinear operators
(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 ... -
Effective numerical methods to model dynamic behavior of springs with torsion
(University of Missouri--Columbia, 2018)The purpose of this thesis is to find effective algorithms to numerically solve certain systems of differential equations that arise from standard Newtonian mechanics. Numerical models of elastica has already been well ... -
Elliptic curves and their applications in cryptography
(University of Missouri--Columbia, 2009)In 1985, Koblitz and Miller proposed elliptic curves to be used for public key cryptosystems. This present thesis examines the role of elliptic curves on cryptography and basic problems involving implementation and security ... -
Endpoint solvability results for divergence form, complex elliptic equations
(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 A ...