J. E. Pascoe

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math.FA2020

Analytic continuation of concrete realizations and the McCarthy Champagne conjecture

Kelly Bickel, J. E. Pascoe, Ryan Tully-Doyle

In this paper, we give formulas that allow one to move between transfer function type realizations of multi-variate Schur, Herglotz and Pick functions, without adding additional si…

math.FA2015

Convex entire noncommutative functions are polynomials of degree two or less

J. William Helton, J. E. Pascoe, Ryan Tully-Doyle +1

This paper concerns matrix "convex" functions of (free) noncommuting variables, $x = (x_{1}, \dots, x_{g})$ . Helton and McCullough showed that a polynomial in $x$ which is matrix conv…