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Invariance of a Shift-Invariant Space in Several Variables

✍ Scribed by Magalí Anastasio; Carlos Cabrelli; Victoria Paternostro

Book ID
107508748
Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
327 KB
Volume
5
Category
Article
ISSN
1661-8254

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Let s ≥ 1 be an integer, φ s → be a compactly supported function, and S φ denote the linear span of φ • -k k ∈ s . We consider the problem of approximating a continuous function f s → on compact subsets of s from the classes S φ h• , h > 0, based on samples of the function at scattered sites in s .