4 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
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…
Boundary behavior of analytic functions of two variables via generalized models
J. Agler, R. Tully-Doyle, N. J. Young
We describe a generalization of the notion of a Hilbert space model of a function in the Schur class of the bidisc. This generalization is well adapted to the investigation of boun…
Nevanlinna representations in several variables
Jim Agler, R. Tully-Doyle, N. J. Young
We generalize two integral representation formulae of Nevanlinna to functions of several variables. We show that for a large class of analytic functions that have non-negative imag…