30 citations · 83 across the 17 of their papers we have counts for
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math.CV2010★ 1 cited
The boundary Carathéodory-Fejér interpolation problem
Jim Agler, Zinaida A. Lykova, N. J. Young
We give an elementary proof of a solvability criterion for the {\em boundary Carathéodory-Fejér problem}: given a point and, a finite set of target values, to construct…
math.FA2010
Operator monotone functions and Löwner functions of several variables
Jim Agler, John E. McCarthy, Nicholas J. Young
We prove generalizations of Löwner's results on matrix monotone functions to several variables. We give a characterization of when a function of variables is locally monotone o…
math.CV2010★ 30 cited
Facial behaviour of analytic functions on the bidisk
Jim Agler, John E. McCarthy, N. J. Young
We prove that if is an analytic function bounded by 1 on the bidisk and is a point in a face of the bidisk at which satisfies Caratheodory's condition then both and…