Extensions of positive definite functions on free groups

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dc.creatorBakonyi, M.
dc.creatorTimotin, D.
dc.date2005-12-01
dc.date.accessioned2026-07-07T06:54:46Z
dc.date.available2026-07-07T06:54:46Z
dc.descriptionAn analogue of Krein's extension theorem is proved for operator-valued positive definite functions on free groups. The proof gives also the parametrization of all extensions by means of a generalized type of Szego parameters. One singles out a distinguished completion, called central, which is related to quasi-multiplicative positive definite functions. An application is given to factorization of noncommutative polynomials.
dc.identifierhttps://arxiv.org/abs/math/0512042
dc.identifierhttp://arxiv.org/abs/math/0512042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106057
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subjectPrimary 43A35; Secondary 05C50, 43A65, 47A57, 47A20
dc.titleExtensions of positive definite functions on free groups
dc.typetext

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