Conservative curved systems and free functional model

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dc.creatorTikhonov, Alexey
dc.date2005-04-30
dc.date.accessioned2026-07-07T05:19:33Z
dc.date.available2026-07-07T05:19:33Z
dc.descriptionWe introduce conservative curved systems over multiply connected domains and study relationships of such systems with related notions of functional model, characteristic function, and transfer function. In contrast to standard theory for the unit disk, characteristic functions and transfer functions are essentially different objects. We study possibility to recover the characteristic function for a given transfer function. As the result we obtain the procedure to construct the functional model for a given conservative curved system. We employ the functional model to solve some problems in perturbation theory.
dc.description18 pages, uses birkart.cls
dc.identifierhttps://arxiv.org/abs/math/0505002
dc.identifierhttp://arxiv.org/abs/math/0505002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75053
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subjectPrimary 47A48; Secondary 47A45, 47A56, 47A55
dc.titleConservative curved systems and free functional model
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