Approximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$

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dc.creatorHoltz, Olga
dc.creatorRon, Amos
dc.date2005-12-27
dc.date.accessioned2026-07-07T06:55:49Z
dc.date.available2026-07-07T06:55:49Z
dc.descriptionWe extend the existing theory of approximation orders provided by shift-invariant subspaces of $L_2$ to the setting of Sobolev spaces, provide treatment of $L_2$ cases that have not been covered before, and apply our results to determine approximation order of solutions to a refinement equation with a higher-dimensional solution space.
dc.description49 pages
dc.identifierhttps://arxiv.org/abs/math/0512609
dc.identifierhttp://arxiv.org/abs/math/0512609
dc.identifierJournal of Approximation Theory, 132/1 (2005), 97-148
dc.identifierdoi:10.1016/j.jat.2004.10.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106407
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject41A25, 41A63, 41A30, 41A15, 42B99, 46E35, 46E30
dc.titleApproximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$
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