4 citations · 7 across the 6 of their papers we have counts for
Showing math.FAShow all
3 papers · 1 filter
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.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, . Helton and McCullough showed that a polynomial in which is matrix conv…
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…