Simultaneous estimates for vector-valued Gabor frames of Hermite functions

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dc.creatorFuehr, Hartmut
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:21:17Z
dc.date.available2026-07-07T07:21:17Z
dc.descriptionWe derive frame estimates for vector-valued Gabor systems with window functions belonging to Schwartz space. The main result provides frame bound estimates for windows composed of Hermite functions. The proof is based on a recently established sampling theorem for the simply connected Heisenberg group, which is translated to a family of frame estimates via a direct integral decomposition.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0608050
dc.identifierhttp://arxiv.org/abs/math/0608050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115250
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject42C15; 42B35
dc.titleSimultaneous estimates for vector-valued Gabor frames of Hermite functions
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