# Browse Dissertations and Theses - Mathematics by Title

• (2011-08-26)
In this thesis, we provide connections between analytic properties in Euclidean R^n and analytic properties in sub-Riemannian Carnot groups. We introduce weak s-John domains, in analogy with weak John domains, and we prove ...

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• (2013-08-22)
In this paper we examine an approximation of the Maxwell-Boltzmann equation for a 1D gas. In the manner of classical gas dynamics, we derive a balance law and use it to determine the grossly determined solutions, a sub-class ...

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• (1990)
In 1983, Bhatia, Davis and McIntosh proved that if A and B are self-adjoint with dist($\sigma(A),\sigma(B)) \geq \delta$ then there is some $c\sb{sa} < 2$ (independent of A and B) such that $c\sb{sa}\vert\vert\vert AQ - ... application/pdf PDF (3Mb) • (1950) application/pdf PDF (2Mb) • (2013-05-24) We study vortex equations with a parameter$s$on smooth vector bundles$E$over compact K\"ahler manifolds$M$. For each$s\$, we invoke techniques in \cite{Br} by turning vortex equations into the elliptic partial ...

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• (1987)
In this work we develop an approach of Selberg to the analytic continuation of Eisenstein series by means of Fredholm theory. We set up the machinery for very general algebraic groups and arithmetic subgroups, and obtain ...

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• (1955)

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• (1982)
Forelli has shown that every linear isometry T from H('p) onto H('p),1 (LESSTHEQ) p < (INFIN), p (NOT=) 2, is of the form Tf = (nu)((phi)')('1/p)f(CCIRC)(phi), where (nu) is a unimodular constant and (phi) is in M, the ...

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• (1978)

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• (2009)
Here we provide a simple outline of the contents of this dissertation.

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• (1987)
The Schur complement of a linear operator on a finite dimensional Hilbert space is discussed and six generalizations are presented. Conditions are established under which these generalizations are equivalent. The infinite ...

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• (1975)

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• (1973)

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• (1956)

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• (1958)

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• (2010-05-14)
Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory of modular forms, representation theory, symmetric functions and mathematical physics. Among these, we study the arithmetic ...

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• (1992)
In this thesis we develop new techniques to work with small cancellation theory diagrams for Artin groups. Using these techniques we examine paths in the Cayley graph of the Artin group. For any Artin group G, with semigroup ...

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• (1970)

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• (1985)
This paper deals with three subjects in set theory. Chapter I concerns a categorical representation of measurable cardinals. The result answers Girard's presumption "The solution to make the order relation between ...

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• (1964)

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