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

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dc.creatorPopescu, Gelu
dc.date2006-05-09
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:29Z
dc.date.available2026-07-07T08:43:29Z
dc.descriptionWe develop a theory of holomorphic functions in several noncommuting (free) variables and thus provide a framework for the study of arbitrary n-tuples of operators. The main topics are the following: Free holomorphic functions and Hausdorff derivations; Cauchy, Liouville, and Schwartz type results for free holomorphic functions; Algebras of free holomorphic functions; Free analytic functional calculus and noncommutative Cauchy transforms; Weierstrass and Montel theorems for free holomorphic functions; Free pluriharmonic functions and noncommutative Poisson transforms; Hardy spaces of free holomorphic functions.
dc.description51 pages
dc.identifierhttps://arxiv.org/abs/math/0605237
dc.identifierhttp://arxiv.org/abs/math/0605237
dc.identifierJ. Funct. Anal. 241 (2006), 268--333
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142331
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A56; 47A13; 47A60; 46T25; 46E15
dc.titleFree holomorphic functions on the unit ball of B(H)^n
dc.typetext

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