CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Author's Draft

Global holomorphic functions in several non-commuting variables II

  • Jim Agler,
    U.C. San Diego, La Jolla, California, USA
  • John McCarthy,
    Washington University, St. Louis, Missouri, USA
Format:   LaTeX   MathJax   PDF  

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: non-commutative function, realization formula non-commutative function, realization formula
MSC Classifications: 15A54 show english descriptions Matrices over function rings in one or more variables 15A54 - Matrices over function rings in one or more variables
 

© Canadian Mathematical Society, 2017 : https://cms.math.ca/