Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)

DOI10.1016/j.jfa.2006.07.004zbMath1112.47004arXivmath/0605237OpenAlexW4210472623MaRDI QIDQ860802

Gelu Popescu

Publication date: 9 January 2007

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

Full work available at URL: https://arxiv.org/abs/math/0605237

zbMATH Keywords

Hardy spaceCauchy transformFock spacePoisson transformfree holomorphic functionsanalytic functional calculusmultivariable operator theoryHausdorff derivation

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

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