p-Adic refinable functions and MRA-based wavelets

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dc.creatorKhrennikov, A. Yu.
dc.creatorShelkovich, V. M.
dc.creatorSkopina, M.
dc.date2007-11-18
dc.date.accessioned2026-07-07T08:43:40Z
dc.date.available2026-07-07T08:43:40Z
dc.descriptionWe described a wide class of $p$-adic refinable equations generating $p$-adic multiresolution analysis. A method for the construction of $p$-adic orthogonal wavelet bases within the framework of the MRA theory is suggested. A realization of this method is illustrated by an example, which gives a new 3-adic wavelet basis. Another realization leads to the $p$-adic Haar bases which were known before.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0711.2820
dc.identifierhttp://arxiv.org/abs/0711.2820
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142395
dc.subjectGeneral Mathematics
dc.subjectMathematical Physics
dc.subjectPrimary 11S80, 42C40; Secondary 11E95
dc.titlep-Adic refinable functions and MRA-based wavelets
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