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SEPARATION AND FENCHEL-TYPE DUALITY THEOREMS FOR FUNCTIONS WITH INTEGER AND REAL VARIABLES
(2011)
The concepts of convex and concave functions are of critical importance in optimization theory. These concepts arise for both functions of real (that is, continuous) variables and functions of integer variables (that is, ...
GEOMETRIC QUANTIZATION OF A SEMI-GLOBAL MODEL OF A FOCUS-FOCUS SINGULARITY
(2019-08-01)
Quantization of a classical mechanical system is an old problem in physics.
In classical mechanics, the evolution of the system is given by a Hamiltonian vector field
on a symplectic manifold (``phase space''). ...
Differences in Beliefs and Teaching Practices between International and U.S. Domestic Mathematics Teaching Assistants
(2011)
International Mathematics Teaching Assistants (MTAs) and U.S. domestic MTAs are an indispensable part of mathematics departments regarding teaching a substantial portion of undergraduate students. Because MTAs' beliefs are ...
Representations of the Automorphism Group of a Right-Angled Coxeter Group
(2019-05-10)
In 2009 Grunewald and Lubotzky published a paper in which they defined a family of linear representations of the automorphism group of a free group. In this dissertation, we will use their ideas to construct a family of ...
MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA
(2019-08-01)
Muto, Narita and Pitale construct counterexamples to the Generalized Ramanujan Conjecture for GL(2,B) over the division quaternion algebra B with discriminant two via a lift from SL(2). In this dissertation, I characterize ...
Some sharp inequalities related to Moser-Tridinger-Onofri inequality
(2014-05)
In this dissertation, we focus on the study of sharp inequalities of Moser-
Trudinger-Onofri type. We first establish the analog Bliss and Hardy inequal-
ities with sharp constant involving exponential weight function. ...
NORM RETRIEVAL FROM SPATIOTEMPORAL SAMPLES
(2018-12)
The goal of this dissertation is to investigate norm retrievable frames having dynamical sampling structure, particularly those that fail the phase retrieval con- dition. We give several classifications to show how to ...
Some Types And Covers For Quaternionic Hermitian Groups
(2014-08-15)
In this dissertation we determine the reducibility of certain induced representations. We do this using Bushnell and Kutzko's method of types and covers. We consider certain quaternionic hermitian groups over a $p$-adic ...
SELF-DUAL REPRESENTATIONS WITH VECTORS FIXED UNDER AN IWAHORI SUBGROUP
(2012)
Let $G$ be the group of $F$-points of a split connected reductive $F$-group over a non-Archimedean local field $F$ of characteristic 0. Let $\pi$ be an irreducible smooth self-dual representation of $G$. The space $W$ of ...
MODEL SELECTION USING AN INFORMATION THEORY APPROACH
(2010)
In this thesis we use the information theoretic approach in selecting the best