Document Type
Article
Publication Date
12-2015
Originally Published In
Agler, J., & McCarthy, J. E. (2015). Pick interpolation for free holomorphic functions. American Journal of Mathematics. 137(6):1685-1701. dx.doi.org/10.1353/ajm.2015.0042.
Abstract
We give necessary and sufficient conditions to solve an interpolation problem for free holomorphic functions bounded in norm on a free polynomial polyhedron. As an application, we prove that every bounded holomorphic function on a polynomial polyhedron extends to a bounded free function.
ORCID
http://orcid.org/0000-0003-0036-7606
Recommended Citation
Agler, Jim and McCarthy, John E., "Pick Interpolation for free holomorphic functions" (2015). Mathematics Faculty Publications. 22.
https://openscholarship.wustl.edu/math_facpubs/22
Comments
This is preprint version of article which appeared in the American Journal of Mathematics, Volume 137, Issue 6, 2015, pages 1685-1701, Copyright © 2015, Johns Hopkins University Press. American Journal of Mathematics. 137(6):1685-1701. dx.doi.org/10.1353/ajm.2015.0042.