J. Pascoe

activity

20132022

most citedNoncommutative free universal monodromy, pluriharmonic conjugates, and plurisubharmonicity

4 citations · 10 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.RA2018

An elementary method to compute the algebra generated by some given matrices and its dimension

J. E. Pascoe

We give an efficient solution to the following problem: Given $X_{1}, \dots X_{d}$ and $Y$ some $n$ by $n$ matrices can we determine if $Y$ is in the unital algebra generated by $X_1,…

math.FA2018

Escaping nontangentiality: Towards a controlled tangential amortized Julia-Carathéodory theory

J. E. Pascoe, Meredith Sargent, Ryan Tully-Doyle

Let $f : D \to Ω$ be a complex analytic function. The Julia quotient is given by the ratio between the distance of $f (z)$ to the boundary of $Ω$ and the distance of $z$ to t…

math.CV2018

Level curve portraits of rational inner functions

Kelly Bickel, James Eldred Pascoe, Alan Sola

We analyze the behavior of rational inner functions on the unit bidisk near singularities on the distinguished boundary $T^{2}$ using level sets. We show that the unimodular…