Now showing items 1-20 of 157

• #### Absolute continuity of parabolic measure and the initial-dirichlet problem ﻿

(University of Missouri--Columbia, 2019)
This thesis is devoted to the study of parabolic measure corresponding to a divergence form parabolic operator. We first extend to the parabolic setting a number of basic results that are well known in the elliptic case. ...
• #### The absolute functional calculus for sectorial operators ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ...
• #### Applied problems in frame theory ﻿

(University of Missouri--Columbia, 2019)
This thesis is a study of two applied problems in frame theory: phase retrieval and quantum detection. These problems are inspired by engineering applications in signal processing and information theory. ... The goal of ...
• #### Approximate isometries and distortion energy functionals ﻿

(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 properties of deep water solitary waves with compactly supported vorticity ﻿

(University of Missouri--Columbia, 2018)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] In this thesis, we consider two-and three-dimensional gravity and capillary-gravity solitary waves propagating along the surface of a body of water ...
• #### Asymptotic unconditionality in Banach spaces ﻿

(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 ﻿

(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 ﻿

(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 ...
• #### Calderon-Zygmund theory for singular integral operators associated with second-order elliptic partial differential systems on rough subdomains of Riemannian manifolds ﻿

(University of Missouri--Columbia, 2016)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This dissertation is a treatise on the theory of Calderon-Zygmund type singular integral operators capable of handling boundary layer potentials arising ...
• #### Capillary-gravity water waves with vorticity : steady wind-driven waves and waves with a submerged dipole ﻿

(University of Missouri--Columbia, 2019)
In this thesis, we study two mathematical problems on water waves in the setting of the incompressible Euler equations with vorticity, gravity, and surface tension. We investigate the existence of small-amplitude steady ...
• #### A class of Gorenstein Artin algebras of embedding dimension four ﻿

(University of Missouri--Columbia, 2007)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] 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 ...
• #### 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 ...
• #### 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, 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 ...