Coincidence of the continuous and discrete p-adic wavelet transforms

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dc.creatorAlbeverio, S.
dc.creatorKozyrev, S. V.
dc.date2007-02-02
dc.date.accessioned2026-07-07T07:44:27Z
dc.date.available2026-07-07T07:44:27Z
dc.descriptionWe show that translations and dilations of a p-adic wavelet coincides (up to the multiplication by some root of one) with a vector from the known basis of discrete p-adic wavelets. In this sense the continuous p-adic wavelet transform coincides with the discrete p-adic wavelet transform. The p-adic multiresolution approximation is introduced and relation with the real multiresolution approximation is described. Relation of application of p-adic wavelets to spectral theory of p-adic pseudodifferential operators and the known results about sparsity of matrices of some real integral operators in the bases of multiresolution wavelets is discussed.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0702010
dc.identifierhttp://arxiv.org/abs/math-ph/0702010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123204
dc.subjectMathematical Physics
dc.subject42C40
dc.titleCoincidence of the continuous and discrete p-adic wavelet transforms
dc.typetext

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