Free holomorphic functions on the noncommutative polydomains and universal models
type: Item
instance of: scholarly article
title: Free holomorphic functions on the noncommutative polydomains and universal models
zbMATH Open document ID: 1500.46051
author: Jian Hu
author: Maofa Wang
published in: Results in Mathematics
publication date: 2018-10-25T00:00:00Z
Mathematics Subject Classification ID: 46L52
Mathematics Subject Classification ID: 47A56
zbMATH DE Number: 6965838
zbMATH Keywords: Fock space
zbMATH Keywords: noncommutative polydomain
zbMATH Keywords: noncommutative Berezin transform
zbMATH Keywords: free holomorphic function
MaRDI profile type: Publication
full work available at URL: s00025-018-0861-2
OpenAlex ID: W2811494558
cites work: Symmetric functions of two noncommuting variables
cites work: Global Holomorphic Functions in Several Noncommuting Variables
cites work: Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
cites work: Interpolation of rational matrix functions
cites work: Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra multidimensional setting
cites work: Q5465015
cites work: Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting
cites work: Some automorphism invariance properties for multicontractions
cites work: Standard noncommuting and commuting dilations of commuting tuples
cites work: Models for n-tuples of noncommuting operators
cites work: Q4837918
cites work: Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
cites work: The algebraic structure of non-commutative analytic Toeplitz algebras
cites work: Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
cites work: The structure of free semigroup algebra
cites work: Isometric dilations of non-commuting finite rank \(n\)-tuples
cites work: Q4520854
cites work: The commutant lifting approach to interpolation problems
cites work: Metric constrained interpolation, commutant lifting and systems
cites work: Models for noncommuting operators
cites work: Proper analytic free maps
cites work: Foundations of Free Noncommutative Function Theory
cites work: Free Function Theory Through Matrix Invariants
cites work: ON BOHR'S INEQUALITY
cites work: Isometric Dilations for Infinite Sequences of Noncommuting Operators
cites work: Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
cites work: Non-commutative disc algebras and their representations
cites work: Poisson transforms on some \(C^*\)-algebras generated by isometries
cites work: Similarity and ergodic theory of positive linear maps
cites work: Entropy and multivariable interpolation
cites work: Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
cites work: Noncommutative Berezin transforms and multivariable operator model theory
cites work: Operator theory on noncommutative domains
cites work: Free Biholomorphic Classification of Noncommutative Domains
cites work: Berezin transforms on noncommutative varieties in polydomains
cites work: Curvature invariant on noncommutative polyballs
cites work: Berezin transforms on noncommutative polydomains
cites work: Q3958740
cites work: Generalized Interpolation in H ∞
cites work: Q5600360
cites work: Free analysis questions II: The Grassmannian completion and the series expansions at the origin
DOI: 10.1007/S00025-018-0861-2
description: scientific article; zbMATH DE number 6965838