Pick interpolation for free holomorphic functions

Jim Agler, John E. McCarthy

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

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 languageEnglish
Pages (from-to)1685-1701
Number of pages17
JournalAmerican Journal of Mathematics
Volume137
Issue number6
DOIs
StatePublished - Dec 2015

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