Frames of translates

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dc.creatorCasazza, Peter G.
dc.creatorChristensen, Ole
dc.creatorKalton, Nigel J.
dc.date1998-11-24
dc.date.accessioned2026-07-07T05:26:58Z
dc.date.available2026-07-07T05:26:58Z
dc.descriptionWe give necessary and sufficient conditions for a subfamily of regularly spaced translates of a function to form a frame (resp. a Riesz basis) for its span. One consequence is that ifthetranslates are taken only from a subset of the natural numbers, then this family is a frame if and only if it is a Riesz basis. We also consider arbitrary sequences of translates and show that for sparse sets, having an upper frame bound is equivalent to the family being a frame sequence. Finally, we use the fractional Hausdorff dimension to identify classes of exact frame sequences.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/9811144
dc.identifierhttp://arxiv.org/abs/math/9811144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77756
dc.subjectFunctional Analysis
dc.subject46C05; 46B20
dc.titleFrames of translates
dc.typetext

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