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.
Original language | English |
---|---|
Pages (from-to) | 1685-1701 |
Number of pages | 17 |
Journal | American Journal of Mathematics |
Volume | 137 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2015 |