On Scattering for CMV Matrices

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dc.creatorKheifets, A.
dc.creatorPeherstorfer, F.
dc.creatorYuditskii, P.
dc.date2007-06-20
dc.date.accessioned2026-07-07T08:11:19Z
dc.date.available2026-07-07T08:11:19Z
dc.descriptionAdamjan-Arov (Lax--Phillips) model space is considered as a scattering representation space for a CMV matrix in context of an extended Marchenko--Faddeev scattering theory. That is, there exists a basis in which the multiplication by independent variable is a CMV matrix. This basis as well as Verblunski coefficients are computed explicitly in terms of Nehari interpolation. Asymptotically the Verblynski coefficients go to zero. Moreover, relations between the basis and wandering subspaces are established. Transformation from scattering representation to spectral representation is given.
dc.identifierhttps://arxiv.org/abs/0706.2970
dc.identifierhttp://arxiv.org/abs/0706.2970
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132088
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.titleOn Scattering for CMV Matrices
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