Title

Pick Interpolation for free holomorphic functions

Authors

Jim Agler
John E. McCarthy, Washington University in St LouisFollow

Author's School

Arts & Sciences

Author's Department

Mathematics

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.

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.

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