# Browse Dept. of Mathematics by Title

• (2017-05-03)
Nakajima introduced a t-deformation of q-characters, (q,t)-characters for short, and their twisted multiplication through the geometry of quiver varieties. The Nakajima (q, t)-characters of Kirillov-Reshetikhin modules ...

application/pdf

PDF (639kB)
• (1993)
The examples discussed in this paper are related to the atomic space problem: Is there an infinite dimensional space with no proper closed infinite dimensional subspace? This question is equivalent to one first posed by ...

application/pdf

PDF (5MB)
• (1987)
In this thesis we introduce the class (DELTA)(X,Y) of nearly represent- able operators from a Banach space X to a Banach space Y. These are the operators that map X-valued uniformly bounded martingales that are Cauchy in ...

application/pdf

PDF (3MB)
• (1978)

application/pdf

PDF (2MB)
• (1972)

application/pdf

PDF (2MB)
• (2004)
In this work, the author studies genus zero constant mean curvature (CMC) surfaces, Alexandrov-embedded in R3. In the first chapters, the work of Lawson, and also of Pinkall and Polthier is extended and the first-order ...

application/pdf

PDF (9MB)
• (1974)

application/pdf

PDF (1MB)
• (2012-06-27)
Moving boundary problems arise in many areas of science and engineering and they are of great importance in the areas of partial differential equations (PDEs) since they characterize phase change phenomena where a system ...

application/pdf

PDF (906kB)
• (1990)
In Chapter I we shall prove a new upper bound in the linear sieve. Our purpose in Chapter II is to explain our method in greater detail than was done in Chapter I. Let x be a large number. We consider $\pi\sb2$(x)--the ...

application/pdf

PDF (2MB)
• (2017-07-11)
This thesis is structured into two parts. In the first two chapters, we prove the non commutative version of the Arithmetic Geometric Mean (AGM) inequality (this is a joint work with Mingyue Zhao and Maruis Junge). We start ...

application/pdf

PDF (589kB)
• (1979)

application/pdf

PDF (5MB)
• (1996)
This thesis introduces a new set theory referred to as the graph-isomorphism set theory (GST). GST does not satisfy the foundation axiom. Peter Aczel has presented several non-well-founded (NWF) set theories within a unified ...

application/pdf

PDF (5MB)
• (2010-08-20)
Results from abstract harmonic analysis are extended to locally compact quantum groups by considering the noncommutative Lp-spaces associated with the locally compact quantum groups. Let G be a locally compact abelian ...

application/pdf

PDF (388kB)
• (1989)
Consider the nonlinear, singularly perturbed, vector boundary relation problem x$\sp\prime$ = f(t,x,y,$\epsilon$), $\epsilon$y$\sp\prime$ = g(t,x,y,$\epsilon$), L(x(0),y(0),$\epsilon$) = $\alpha\sb0$, R(x(1),y(1),$\epsilon$) ...

application/pdf

PDF (7MB)
• (2009)
In this thesis, we apply model theory to Lie theory and geometric group theory. These applications of model theory come via nonstandard analysis. In Lie theory, we use nonstandard methods to prove two results. First, we ...

application/pdf

PDF (2MB)
• (2011-05-25)
In this dissertation, a nonstandard approach to lifting theory developed by Bliedtner and Loeb is applied to liftings on topological measure spaces and group measure spaces. A further application to disintegrations of ...

application/pdf

PDF (2MB)
• (1989)
Ideas and techniques from nonstandard theories of measure spaces and Banach spaces are brought together to develop a nonstandard theory of Banach space valued measures. In particular, constructions of countably additive ...

application/pdf

PDF (3MB)
• (1994)
We describe an extension of the Bochner integral. Bochner integrable functions can be approximated by simple functions. Using Nonstandard Analysis, we investigate internal simple functions from an internal measure space ...

application/pdf

PDF (3MB)
• (1974)

application/pdf

PDF (2MB)
• (1994)
Let f be a meromorphic function in the complex plane C. We consider the normality of the family of integer translations of f, $\{ f(z + n):n = 0,\pm 1,\pm2,\...\}$. If the family is normal on a set G in C, then the set G ...

application/pdf

PDF (1MB)