Stability properties for a compactly supported prescale function

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dc.creatorDobric, V.
dc.creatorGundy, R. F.
dc.creatorHitczenko, P.
dc.date2001-10-17
dc.date.accessioned2026-07-07T04:43:54Z
dc.date.available2026-07-07T04:43:54Z
dc.descriptionWe show that if $ϕ$ is a continuous, minimally supported prescale function, then its translates are linearly independent on any set of positive measure in the unit interval. This generalizes results of Y. Meyer and P. G. Lemarie. This result implies that a stability condition, introduced by Gundy and Kazarian for the study of local convergence of spline wavelet expansions, is satisfied for all expansions arizing from multiresolution analyses generated by such prescale functions $ϕ$.
dc.identifierhttps://arxiv.org/abs/math/0110187
dc.identifierhttp://arxiv.org/abs/math/0110187
dc.identifierSIAM J. Math. Anal. 31 (2000), 574-580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62422
dc.subjectClassical Analysis and ODEs
dc.subject42C15
dc.titleStability properties for a compactly supported prescale function
dc.typetext

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