# Browse Dissertations and Theses - Mathematics by Title

• (2011-08-25)
A Gabor system is a collection of modulated and translated copies of a window function. If we have a signal in $L^2(\mathbb{R})$, it can be analyzed with a Gabor system generated by a certain window $g$ and then synthesized ...

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• (2006)
Finally, we look at some nonabelian, real, Galois extensions K of Q , such that GK(2) is not free but has a free subgroup of index 2. In particular we focus on finite split metacyclic extensions and again we explicitly ...

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• (2006)
We use modular forms to come up with an infinite family of groups that can be realized with just one finite ramifying prime. Namely, we establish that ramQ (GL2( F l)) = 1 for infinitely many primes l and for all primes ...

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• (2016-05-11)
In this thesis we study combinatorial games on graphs and some graph parameters whose consideration was inspired by an interest in the symmetry of hypercubes. A capacity function f on a graph G assigns a nonnegative integer ...

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• (2012-09-18)
The $q$-Gaussian von Neumann algebras were first defined and studied by Bo\.{z}ejko and Speicher in connection with noncommutative brownian motion. The main results of the present work is to establish that the $q$-Gaussian ...

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• (2012-02-06)
A general framework for analyzing finite games will be introduced. The concept of an incentive function will be defined so that it is compatible with the updating protocol defined in Nash's proof of existence of equilibrium ...

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• (1974)

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• (1959)

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• (1978)

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• (1958)

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• (1962)

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• (1970)

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• (2001)
In this thesis we study generalizations of the Rogers-Ramanujan continued fraction. The Rogers-Ramanujan continued fraction arises from a three-term q-difference equation. We consider (m + 1)-term q-difference equations ...

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• (2002)
Let Nq(g) be the maximal number of rational points a global function field of genus g with constant field Fq can have. Let A(q) = lim sup g→infinity Nqg g . As an application of our results, we improve the best ...

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• (2010-08-20)
In 1955 Erdõs posed the multiplication table problem: Given a large integer N, how many distinct products of the form ab with a≤N and b≤N are there? The order of magnitude of the above quantity was determined by Ford. The ...

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• (1985)
Let R and S be two rings with identity elements and let l : R (--->) S be a ring homomorphism preserving their identity elements. Then any S-module W can be regarded as an R-module W(,R). Also, for any right R-module ...

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• (1966)

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• (1963)

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• (1963)

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• (1984)
A Peiffer-Whitehead word system W, or generalized group presentation, consists of generators for a free group and words of various orders n (GREATERTHEQ) 2 representing elements of the free group (n = 2), a free crossed ...

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