Robertson Type Theorems for Frames

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dc.creatorWeber, Eric
dc.date2001-08-14
dc.date.accessioned2026-07-07T04:42:58Z
dc.date.available2026-07-07T04:42:58Z
dc.descriptionWe extend Robertson's theorem to apply to frames generated by the action of a discrete, countable abelian unitary group. Within this setup we use Stone's theorem and the theory of spectral multiplicity to analyze wandering frame collections. Motivated by wavelet theory, we explicitly apply our results to the action of the integers given by translations on $\ltwo$. This yields a new functional analytic method of constructing a wavelet from a multiresolution analysis.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0108097
dc.identifierhttp://arxiv.org/abs/math/0108097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62014
dc.subjectFunctional Analysis
dc.subject42C15; 43A70
dc.titleRobertson Type Theorems for Frames
dc.typetext

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