Noncommutative transforms and free pluriharmonic functions

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dc.creatorPopescu, Gelu
dc.date2007-01-24
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:24Z
dc.date.available2026-07-07T12:37:24Z
dc.descriptionIn this paper, we study free pluriharmonic functions on noncommutative balls, and their boundary behavior. The main tools used in this study are certain noncommutative transforms which are introduced in the present paper and which generalize the classical transforms of Berezin, Poisson, Fantappie, Herglotz, and Cayley. Several classical results from complex analysis have free analogues in our noncommutative multivariable setting.
dc.description46 pages
dc.identifierhttps://arxiv.org/abs/math/0701682
dc.identifierhttp://arxiv.org/abs/math/0701682
dc.identifierAdv. Math. 220 (2009), 831-893
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218425
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A56; 47A13; 46L52; 46L07; 46T25; 47A57
dc.titleNoncommutative transforms and free pluriharmonic functions
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