title: Non-commutative holomorphic functions on operator domains.
abstract: We characterize functions ofd-tuples of bounded operators on a Hilbert space that are uniformly approximable by free polynomials on balanced open sets.
authors.affiliation: Department of Mathematics, University of California San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA.
authors.forename: Jim
authors.initials: J
authors.lastname: Agler
authors.affiliation: Department of Mathematics, Washington University, 1 Brookings Drive, St. Louis, MO 63130, USA.
authors.forename: John E
authors.initials: JE
authors.lastname: McCarthy
keywords: Free holomorphic functions; Intertwining preserving; Nc functions