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Invariance of a Shift-Invariant Space

✍ Scribed by Akram Aldroubi; Carlos Cabrelli; Christopher Heil; Keri Kornelson; Ursula Molter

Publisher
SP Birkhäuser Verlag Boston
Year
2009
Tongue
English
Weight
404 KB
Volume
16
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES

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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 .

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✍ S Dekel; D Leviatan 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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