Mathematics Dissertations and Theses: Recent submissions
Now showing items 121-140 of 179
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Theory of reproducing kernels for Hilbert spaces of vector valued functions
(University of Kansas, 1957)The general theory of reproducing kernels developed by N. Aronszajn provides a unifying point of view for the study of an important class of Hilbert spaces of real or complex valued functions and for the application of ... -
On coaxial minors of determinants
(University of Kansas, 1922) -
Methods of generating plane cubic curves
(University of Kansas, 1921) -
The Riemann surface for the function W²=Z³+3tz+2
(University of Kansas, 1916) -
Plane roulette curves
(University of Kansas, 1915) -
Set of problems of the circle arranged by type forms
(University of Kansas, 1916) -
A special Riemann surface with application to the hyperelliptic case
(University of Kansas, 1915) -
The principle of duality in a projective space of N dimensions
(University of Kansas, 1922.) -
Euclidean proofs of projective geometry theorems /
(University of Kansas, 1922.) -
The Arbelos
(University of Kansas, 1949-08-01) -
Coordinate Systems in One and Two Dimensions
(University of Kansas, 1914-06-01) -
On the Kalman Filter and Its Variations
(University of Kansas, 2014-05-31)The objective of this paper is to explore the standard Kalman filter and two non-linear variations. Additionally, we will discuss the derivation of the Kalman filter using Newton's method. Next we will consider the ... -
Limit Domains in Several Complex Variables
(University of Kansas, 2013-12-31)In this thesis we demonstrated the existence of domains in C^2 evidencing both intrinsic phenomena of C^n, n 1, and different types of boundary smoothness. We constructed these domains by taking limits of preimages of ... -
Finding Eigenvalues of Unitary Matrices
(University of Kansas, 2013-12-31)The study introduces methods of finding eigenvalues for unitary matrices and pencils. Bunse-Gerstner and Elsner ([2]) proposed an algorithm of using the Schur parameter pencil to solve eigenproblems for unitary matrices ... -
Bilinear Littlewood-Paley Square Functions and Singular Integrals
(University of Kansas, 2013-05-31)In this dissertation we further develop the bilinear theory of vector valued Calderoón-Zygmund operators, Littlewood-Paley square functions, and singu- lar integral operators. These areas of harmonic analysis are motivated ... -
Some application of Malliavin calculus to SPDE and convergence of densities
(University of Kansas, 2013-05-31)Some applications of Malliavin calculus to stochastic partial differential equations (SPDEs) and to normal approximation theory are studied in this dissertation. In Chapter 3, a Feynman-Kac formula is established for a ... -
The Rebate Value Process with Some Applications
(University of Kansas, 2013-08-31)In the pricing of credit derivatives default is modelled as a stopping time and prices are typically determined by separation of cash-flows before and at default. In a general risk-neutral valuation setting, this technique ... -
Dynamics of Poisson-Nernst-Planck systems and applications to ionic channels
(University of Kansas, 2013-08-31)Dynamics of Poisson-Nernst-Planck systems and its applications to ion channels are studied in this dissertation. The Poisson-Nernst-Planck systems serve as basic electro-diffusion equations modeling, for example, ion flow ... -
Central Limit Theorems for Some Symmetric Stochastic Integrals
(University of Kansas, 2013-08-31)The problem of stochastic integration with respect to fractional Brownian motion (fBm) with H 1/4, but not in general if H 1/2. This result approximates an fBm version of Spitzer's theorem for planar Brownian motion. -
Simulation Methods Comparison and Parameter Estimation for a Fractional Stochastic Volatility Model with Application in Stock Price Analysis
(University of Kansas, 2013-08-31)This paper studies continuous-time stock pricing models with stochastic volatility driven by fractional Brownian motion. We compare two ways for simulating the paths of stochastic volatility and stock price when the Hurst ...