𝔖 Bobbio Scriptorium
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Extension of ultradifferentiable functions of Roumieu type

✍ Scribed by Michael Langenbruch


Book ID
112496152
Publisher
Springer
Year
1988
Tongue
English
Weight
487 KB
Volume
51
Category
Article
ISSN
0003-889X

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Continuous Linear Extension of Ultradiff
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## Abstract For a weight function Ο‰ and a closed set __A__ βŠ‚ ℝ^__N__^ let β„°~(Ο‰)~(__A__) denote the space of all ω‐Whitney jets of Beurling type on __A__. It is shown that for each closed set __A__ βŠ‚ ℝ^__N__^ there exists an ω‐extension operator __EA__: β„°~(Ο‰)~(__A__) β†’ β„°~(Ο‰)~(ℝ^__N__^) if and only i