4 citations · 10 across the 19 of their papers we have counts for
6 papers · 1 filter
Automatic real analyticity and a regal proof of a commutative multivariate Löwner theorem
J. E. Pascoe, Ryan Tully-Doyle
We adapt the "royal road" method used to simplify automatic analyticity theorems in noncommutative function theory to several complex variables. We show that certain families of fu…
Noncommutative rational functions invariant under the action of a finite solvable group
Igor Klep, James Eldred Pascoe, Gregor Podlogar +1
This paper describes the structure of invariant skew fields for linear actions of finite solvable groups on free skew fields in generators. These invariant skew fields are alwa…
An entire free holomorphic function which is unbounded on the row ball
J. E. Pascoe
We give an entire free holomorphic function which is unbounded on the row ball. That is, we give a holomorphic free noncommutative function which is continuous in the free topo…
The royal road to automatic noncommutative real analyticity, monotonicity, and convexity
J. E. Pascoe, Ryan Tully-Doyle
It was shown classically that matrix monotone and matrix convex functions must be real analytic by Löwner and Kraus respectively. Recently, various analogues have been found in sev…
Noncommutative Schur-type products and their Schoenberg theorem
J. E. Pascoe
Schoenberg showed that a function such that positive semi-definite implies that is also positive semi-d…
Committee spaces and the random column-row property
J. E. Pascoe
A committee space is a Hilbert space of power series, perhaps in several or noncommuting variables, such that Such a space satisfies the true col…