On the Translation Invariance of Wavelet Subspaces

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dc.creatorWeber, Eric
dc.date1999-09-22
dc.date.accessioned2026-07-07T05:30:52Z
dc.date.available2026-07-07T05:30:52Z
dc.descriptionAn examination of the translation invariance of $V_0$ under dyadic rationals is presented, generating a new equivalence relation on the collection of wavelets. The equivalence classes under this relation are completely characterized in terms of the support of the Fourier transform of the wavelet. Using operator interpolation, it is shown that several equivalence classes are non-empty.
dc.description11 pages, AMS-Latex
dc.identifierhttps://arxiv.org/abs/math/9909133
dc.identifierhttp://arxiv.org/abs/math/9909133
dc.identifierJ. Fourier Anal. Appl., vol. 6 (2000) 551-558
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79138
dc.subjectFunctional Analysis
dc.subject42C15 (Primary) 47C05 (Secondary)
dc.titleOn the Translation Invariance of Wavelet Subspaces
dc.typetext

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