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Global Holomorphic Functions in Several Non-Commuting Variables II

Published online by Cambridge University Press:  20 November 2018

Jim Agler  and
John McCarthy
Jim Agler
Affiliation:
U.C. San Diego, La Jolla, California, USA, e-mail : jagler@ucsd.edu
John McCarthy
Affiliation:
Washington University, St. Louis, Missouri, USA, e-mail : mccarthy@wustl.edu
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Abstract

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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

15A54non-commutative functionrealization formula

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 3 , 01 September 2018 , pp. 458 - 463
Copyright
Copyright © Canadian Mathematical Society 2018

References

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