# Browse Dissertations and Theses - Mathematics by Contributor "Kaufman, Robert"

• (1989)
Representations of meromorphic functions as quotients of analytic functions have been studied for years. Miles showed that any meromorphic function f can be written as f$\sb1$/f$\sb2$ where each f$\sb{\rm j}$ is entire and ...

application/pdf

PDF (3MB)
• (2018-11-08)
For $k,n\ge 1$, the jet space $J^k(\R^n)$ is the set of $k^{th}$-order Taylor polynomials of functions in $C^k(\R^n)$. Warhurst constructs a Carnot group structure on $J^k(\R^n)$ such that the jets of functions in ...

application/pdf

PDF (546kB)
• (1994)
The metric entropy of a set is a measure of its size in terms of the minimal number of sets of diameter not exceeding 2$\varepsilon$ which cover the set. We calculate the asymptotic order of the metric entropy as \$\varepsilon\ ...

application/pdf

PDF (1MB)
• (2010-08-20)
For a compact metric space E, Solecki has defined a broad natural class of G-delta ideals of compact sets on E, called G-delta ideals with property (*), and has shown that any ideal I in this class can be represented ...

application/pdf

PDF (363kB)