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Continuation of functionals on ultradifferentiable function spaces

✍ Scribed by R. S. Pathak; A. C. Paul


Book ID
112651129
Publisher
Springer
Year
1995
Tongue
English
Weight
564 KB
Volume
21
Category
Article
ISSN
0133-3852

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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