Noncommutative complex analysis and Bargmann-Segal multipliers

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dc.creatorRochberg, Richard
dc.creatorWeaver, Nik
dc.date1999-08-06
dc.date.accessioned2026-07-07T05:30:12Z
dc.date.available2026-07-07T05:30:12Z
dc.descriptionWe state several equivalent noncommutative versions of the Cauchy-Riemann equations and characterize the unbounded operators on L^2(R) which satisfy them. These operators arise from the creation operator via a functional calculus involving a class of entire functions, identified by Newman and Shapiro [D. J. Newman and H. S. Shapiro, Fischer spaces of entire functions, in Entire Functions and Related Parts of Analysis (J. Koorevaar, ed.), AMS Proc. Symp. Pure Math. XI (1968), 360-369], which act as unbounded multiplication operators on Bargmann-Segal space.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/9908025
dc.identifierhttp://arxiv.org/abs/math/9908025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78920
dc.subjectOperator Algebras
dc.subjectComplex Variables
dc.titleNoncommutative complex analysis and Bargmann-Segal multipliers
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