Whitney’s extension problem for $C^m$
Annals of mathematics, Tome 164 (2006) no. 1, pp. 313-359
Let $f$ be a real-valued function on a compact set in $\mathbb{R}^n$, and let $m$ be a positive integer. We show how to decide whether $f$ extends to a $\mathbb{C}^m$ function on $\mathbb{R}^n$.
@article{10_4007_annals_2006_164_313,
author = {Charles Fefferman},
title = {Whitney{\textquoteright}s extension problem for $C^m$},
journal = {Annals of mathematics},
pages = {313--359},
year = {2006},
volume = {164},
number = {1},
doi = {10.4007/annals.2006.164.313},
mrnumber = {2233850},
zbl = {1109.58016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.313/}
}
Charles Fefferman. Whitney’s extension problem for $C^m$. Annals of mathematics, Tome 164 (2006) no. 1, pp. 313-359. doi: 10.4007/annals.2006.164.313
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