LULU operators for functions of continuous argument

dc.creatorRohwer, Roumen Anguelov Carl
dc.date2007-11-13
dc.date.accessioned2026-07-07T08:42:37Z
dc.date.available2026-07-07T08:42:37Z
dc.descriptionThe LULU operators, well known in the nonlinear multiresolution analysis of sequences, are extended to functions defined on a continuous domain, namely, a real interval. We show that the extended operators replicate the essential properties of their discrete counterparts. More precisely, they form a fully ordered semi-group of four elements, preserve the local trend and the total variation.
dc.identifierhttps://arxiv.org/abs/0711.1944
dc.identifierhttp://arxiv.org/abs/0711.1944
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142022
dc.subjectClassical Analysis and ODEs
dc.subjectGeneral Mathematics
dc.subject94A08, 06F05, 26A99
dc.titleLULU operators for functions of continuous argument
dc.typetext

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