# Browse Dissertations and Theses - Mathematics by Title

• (1982)
Assume that F is a distribution function such that for some non-degenerate distribution function G, and sequences of constants a(,n) (a(,n) positive) and b(,n), we have that, as n increases, F('n)(a(,n)x + b(,n)) converges ...

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• (1968)

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• (2013-05-24)
In this thesis we study Deligne-Lusztig curves associated to the simple groups $\AAA$, $\BB$, and $\GG$ with applications in algebraic geometry codes, hash families, and polar codes. This thesis consists of four parts, the ...

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• (1962)

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• (1991)
We consider proper holomorphic maps between balls that are invariant under the action of finite groups of unitary matrices. We are primarily interested in actions of groups that are fixed-point-free; for purposes of ...

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• (1999)
In Chapter 3 we use the results of Chapter 2 to prove locally-convex versions of some results on the Invariant Subspace Problem on Banach lattices obtained by Y. Abramovich, C Aliprantos, and O. Burkinshaw in 1993--98. For ...

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• (2006)
Finally, we prove generalizations of integrals found on page 201 of Ramanujan's Lost Notebook. We also prove several results related to the integrals on page 201. Our integral evaluations follow from well-known product-series ...

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• (1984)
Sacksteder showed that immersions into Euclidean space of complete hypersurfaces with positive semi-definite second fundamental form and some positive sectional curvature are embeddings, and that the hypersurface splits ...

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• (2009)
We adapt Weinberger's method from the corresponding free membrane problem, taking the fundamental modes of the unit ball as trial functions. These solutions are a linear combination of Bessel and modified Bessel functions.

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• (2011-08-25)
For a fixed base, John H. Conway’s RATS sequences are generated by iterating the following procedure on an initial integer: Reverse the digits of the integer, Add the reversal to the original, Then Sort the resulting digits ...

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• (2008)
This thesis introduces a natural extension of Kolchin's differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-linear case the iterative Picard-Vessiot theory recently ...

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• (1975)

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• (2014-09-16)
This thesis covers four results: 1. We prove an analog of Whitney's embedding theorem for J-holomorphic discs. 2. For zj = xj + i*yj in C and let D_R^2 = {(z1, z2) in C^2 : x1^2 + x2^2 <1, y1^2 + y2^2 < 1} be the real ...

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• (1974)

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• (1997)
A complex analytic map f always decomposes the complex plane into two dis-joint subsets, the Julia set J(f) on which the family of iterates of f, $\{f\sp{k}\}\sbsp{k=0}{\infty}$, fails to be a normal family, and its ...

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• (1977)

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• (1972)

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• (2016-07-06)
A central result in algebraic combinatorics is the Littlewood-Richardson rule that governs products in the cohomology of Grassmannians. A major theme of the modern Schubert calculus is to extend this rule and its associated ...

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• (1962)

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• (2000)
We also study connections between strong reducibilities and properties of computably enumerable sets such as simplicity. We call a class S of computably enumerable sets bounded if there is an m-incomplete computably ...

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