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A Sampling Theory for Compact Sets in Euclidean Space

✍ Scribed by Frédéric Chazal; David Cohen-Steiner; André Lieutier


Publisher
Springer
Year
2009
Tongue
English
Weight
624 KB
Volume
41
Category
Article
ISSN
0179-5376

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C1-Weierstrass for compact sets in Hilbe
✍ H. Movahedi-Lankarani; R. Wells 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 219 KB

The C 1 -Weierstrass approximation theorem is proved for any compact subset X of a Hilbert space H. The same theorem is also proved for Whitney 1-jets on X when X satisfies the following further condition: There exist finite dimensional linear subspaces n 1 H n is dense in span{X} and π n (X) = X ∩