4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.FA2016
Cauchy transforms arising from homomorphic conditional expectations parametrize free Pick functions but those arising from conditional expectations do not
J. E. Pascoe, Ryan Tully-Doyle
Nevanlinna showed that Cauchy transforms of probability measures parametrize all functions from the upper half plane into itself satisfying a certain asymptotic condition at infini…
math.FA2014★ 4 cited
Note on Löwner's theorem on matrix monotone functions in several commuting variables of Agler, McCarthy and Young
J. E. Pascoe
In this brief note, we show that the hypotheses of Löwner's theorem on matrix monotonicity in several commuting variables as proved by Agler, McCarthy and Young can be significantl…
math.FA2014★ 1 cited
Free functions with symmetry
David Cushing, J. E. Pascoe, Ryan Tully-Doyle
In 1936, Margarete C. Wolf showed that the ring of symmetric free polynomials in two or more variables is isomorphic to the ring of free polynomials in infinitely many variables. W…