Symmetric functions of two noncommuting variables

DOI10.1016/j.jfa.2014.02.026zbMath1307.46035arXiv1307.1588OpenAlexW2008326791WikidataQ59899374 ScholiaQ59899374MaRDI QIDQ2511672

N. J. Young, Jim Agler

Publication date: 6 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1588

zbMATH Keywords

transfer functionsymmetric functionsfree analysis

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (7)

Finite solvable groups with a rational skew-field of noncommutative real rational invariants ⋮ Non‐commutative manifolds, the free square root and symmetric functions in two non‐commuting variables ⋮ Free functions with symmetry ⋮ Symmetric polynomials in free associative algebras ⋮ Implicit/inverse function theorems for free noncommutative functions ⋮ Free holomorphic functions on the noncommutative polydomains and universal models ⋮ Noncommutative rational functions invariant under the action of a finite solvable group

Cites Work

• Proper analytic free maps
• Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
• Noncommutative symmetric functions
• Foundations of Free Noncommutative Function Theory
• On a Certain Linear Fractional Transformation
• Free analysis questions II: The Grassmannian completion and the series expansions at the origin
• Global Holomorphic Functions in Several Noncommuting Variables
• Functions of several noncommuting variables
• Unnamed Item
• Unnamed Item

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