Orthogonal Frames of Translates

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dc.creatorWeber, Eric
dc.date2003-10-10
dc.date.accessioned2026-07-07T05:01:48Z
dc.date.available2026-07-07T05:01:48Z
dc.descriptionTwo Bessel sequences are orthogonal if the composition of the synthesis operator of one sequence with the analysis operator of the other sequence is the 0 operator. We characterize when two Bessel sequences are orthogonal when the Bessel sequences have the form of translates of a finite number of functions in $\ltwod$. The characterizations are applied to Bessel sequences which have an affine structure, and a quasi-affine structure. These also lead to characterizations of superframes. Moreover, we characterize perfect reconstruction, i.e. duality, of subspace frames for translation invariant (bandlimited) subspaces of $\ltwod$.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0310161
dc.identifierhttp://arxiv.org/abs/math/0310161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68814
dc.subjectFunctional Analysis
dc.subject42C40; 46N99
dc.titleOrthogonal Frames of Translates
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