4 citations · 10 across the 19 of their papers we have counts for
5 papers · 1 filter
Free noncommutative principal divisors and commutativity of the tracial fundamental group
J. E. Pascoe
We define the principal divisor of a free noncommuatative function. We use these divisors to compare the determinantal singularity sets of free noncommutative functions. We show th…
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…
Trace minmax functions and the radical Laguerre-Pólya class
J. E. Pascoe
We classify functions which satisfy the inequality when are self-adj…
Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications
Meric Augat, Michael T. Jury, James Eldred Pascoe
We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation proble…
Noncommutative free universal monodromy, pluriharmonic conjugates, and plurisubharmonicity
J. E. Pascoe
We show that the monodromy theorem holds on arbitrary connected free sets for noncommutative free analytic functions. Applications are numerous-- pluriharmonic free functions have…