38 citations · 253 across the 49 of their papers we have counts for
6 papers · 1 filter
The three point Pick problem on the Bidisk
Jim Agler, John E. McCarthy
We analyze the three point Pick interpolation problem on the bidisk
Interpolating sequences on the bidisk
Jim Agler, John E. McCarthy
We give a characterization of interpolating sequences for bounded analytic functions on the bidisk.
Complete Nevanlinna-Pick kernels
Jim Agler, John E. McCarthy
We give a new treatment of Quiggin's and McCullough's characterization of complete Nevanlinna-Pick kernels. We show that a kernel has the matrix-valued Nevanlinna-Pick property if…
Nevanlinna-Pick Kernels and Localization
Jim Agler, John E. McCarthy
We describe those reproducing kernel Hilbert spaces of holomorphic functions on domains in for which an analogue of the Nevanlinna-Pick theorem holds, in other words w…
The Julia-Caratheodory theorem on the bidisk revisited
John E. McCarthy, James E. Pascoe
The Julia quotient measures the ratio of the distance of a function value from the boundary to the distance from the boundary. The Julia-Carathéodory theorem on the bidisk states t…
A non-commutative Julia Inequality
John E. McCarthy, James E. Pascoe
We prove a Julia inequality for bounded non-commutative functions on polynomial polyhedra. We use this to deduce a Julia inequality for holomorphic functions on classical domains i…