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Whitney’s extension theorem for ultradifferentiable functions of Beurling type

✍ Scribed by Reinhold Meise; B. Alan Taylor


Book ID
112741686
Publisher
Springer Netherlands
Year
1988
Tongue
English
Weight
1000 KB
Volume
26
Category
Article
ISSN
0004-2080

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## Abstract For a weight function ω and a closed set __A__ ⊂ ℝ^__N__^ let ℰ~(ω)~(__A__) denote the space of all ω‐Whitney jets of Beurling type on __A__. It is shown that for each closed set __A__ ⊂ ℝ^__N__^ there exists an ω‐extension operator __EA__: ℰ~(ω)~(__A__) → ℰ~(ω)~(ℝ^__N__^) if and only i