Global holomorphic functions in several non-commuting variables II

Abstract

We give a new proof that bounded non-commutative functions on polynomial polyhedra can be represented by a realization formula, a generalization of the transfer function realization formula for bounded analytic functions on the unit disk.

References in corpus (1)

• Proper Analytic Free Maps

Cited by in corpus (5)

• Non-commutative manifolds, the free square root and symmetric functions in two non-commuting variables
• Bounded Real Lemma and structured singular value versus diagonal scaling: the free noncommutative setting
• Noncommutative hyperbolic metrics
• Free functions with symmetry
• Noncommutative functions are weakly algebraic on operatorial polynomial polyhedra