English

Global holomorphic functions in several non-commuting variables II

Functional Analysis 2019-08-15 v1

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.

Keywords

Cite

@article{arxiv.1706.09973,
  title  = {Global holomorphic functions in several non-commuting variables II},
  author = {Jim Agler and John E. McCarthy},
  journal= {arXiv preprint arXiv:1706.09973},
  year   = {2019}
}
R2 v1 2026-06-22T20:33:58.709Z