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Estimation and Analysis of Atmospheric Vortices
(2013)
ESTIMATION AND ANALYSIS OF ATMOSPHERIC VORTICES
SOME LOCAL AND GLOBAL ASPECTS OF MATHEMATICAL DIGITAL SIGNAL PROCESSING
(2010)
We propose to use L^p norm of a given digital signal to identify the location where the dramatic chang occurs. The theory is based on Sobolev type inequalities on one dimensional intervals.
Categorizing Students' Difficulties with Mathematical Proofs: Developing a Model of the Structure of Proof Construction
(2015-08-14)
Studies have shown that proof construction is a challenging task for students at all levels. The purposes of my study were to examine students' difficulties with proof construction and to explore a practical method to help ...
Equivariant Piecewise-Linear Topology and Combinatorial Applications
(2011)
For G a finite group, we develop some theory of G-equivariant piecewise-linear topology and prove characterization theorems for G-equivariant regular neighborhoods. We use these results to prove a conjecture of Csorba ...
Irreducible non-cuspidal characters of GSp(4,Fq)
(2011)
Admissible non--supercuspidal representations of GSp(4,F), where F is a local field of characteristic zero with an odd-ordered residue field Fq, have finite dimensional spaces of fixed vectors under the action of principal ...
Generating Simulation Relations for Certain Nonlinear Control Systems
(2011)
In this dissertation, we introduce a new algorithm for generating simulation relations between nonlinear control systems that are affine in inputs and disturbances and provide precise mathematical conditions ensuring that ...
Invariant vectors and level raising operators in representations of the p-adic group GL(3)
(2012)
Each irreducibel, admissible representation (&pi,V) of GL(n) over a non-archimedean local field F has associated fixed vector spaces VK(m), for K(m) a compact-open subgroup of GL(n). It is known that there exists some ...
Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras
(2012)
First, we develop a result using multilinear algebra to prove, in an elementary way, a useful identity between representations of $\mathfrak{sp}(4, \mathbb{C})$, which involves writing any irreducible representation as a ...
MODEL SELECTION USING AN INFORMATION THEORY APPROACH
(2010)
In this thesis we use the information theoretic approach in selecting the best
HOLONOMY DISPLACEMENT OF CURVES IN BUNDLE SO(N)->SO_0(1,N)->H^n
(2011)
The Riemannian submersion π : SO_0(1,n) ->H^n is a principal bundle and its fiber at π (e) is the imbedding of SO(n) into SO_0(1,n) , where e is the identity of both SO_0(1,n) and SO(n). In this study, we associate ...