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Perturbation of frame sequences in shift-invariant spaces

✍ Scribed by O. Christensen; H. O. Kim; R. Y. Kim; J. K. Lim


Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
466 KB
Volume
15
Category
Article
ISSN
1050-6926

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πŸ“œ SIMILAR VOLUMES


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Let s β‰₯ 1 be an integer, Ο† s β†’ be a compactly supported function, and S Ο† denote the linear span of Ο† β€’ -k k ∈ s . We consider the problem of approximating a continuous function f s β†’ on compact subsets of s from the classes S Ο† hβ€’ , h > 0, based on samples of the function at scattered sites in s .

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✍ S Dekel; D Leviatan πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 262 KB

The motivation for this work is a recently constructed family of generators of shift invariant spaces with certain optimal approximation properties, but which are not refinable in the classical sense. We try to see whether, once the classical refinability requirement is removed, it is still possible