Schur multipliers and de Branges-Rovnyak spaces: the multiscale case

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dc.creatorAlpay, Daniel
dc.creatorDijksma, Aad
dc.creatorVolok, Dan
dc.date2006-05-12
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:53:50Z
dc.date.available2026-07-07T07:53:50Z
dc.descriptionWe consider bounded linear operators acting on the $\ell_2$ space indexed by the nodes of a homogeneous tree. Using the Cuntz relations between the primitive shifts on the tree, we generalize the notion of the single-scale time-varying point evaluation and introduce the corresponding reproducing kernel Hilbert space in which Cauchy's formula holds. These notions are then used in the study of the Schur multipliers and of the associated de Branges-Rovnyak spaces. As an application we obtain realization of Schur multipliers as transfer operators of multiscale input-state-output systems.
dc.descriptionfinal version
dc.identifierhttps://arxiv.org/abs/math/0605331
dc.identifierhttp://arxiv.org/abs/math/0605331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126375
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject93B28; 05C05
dc.titleSchur multipliers and de Branges-Rovnyak spaces: the multiscale case
dc.typetext

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