$p$-Adic multiresolution analysis and wavelet frames

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dc.creatorAlbeverio, S.
dc.creatorEvdokimov, S.
dc.creatorSkopina, M.
dc.date2008-02-08
dc.date.accessioned2026-07-07T09:19:32Z
dc.date.available2026-07-07T09:19:32Z
dc.descriptionWe study $p$-adic multiresolution analyses (MRAs). A complete characterisation of test functions generating MRAs (scaling functions) is given. We prove that only 1-periodic test functions may be taken as orthogonal scaling functions. We also suggest a method for the construction of wavelet functions and prove that any wavelet function generates a $p$-adic wavelet frame.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0802.1079
dc.identifierhttp://arxiv.org/abs/0802.1079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154425
dc.subjectClassical Analysis and ODEs
dc.subject42C40; 11F85
dc.title$p$-Adic multiresolution analysis and wavelet frames
dc.typetext

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