Extension of smooth functions in infinite dimensions II: manifolds
C. J. Atkin
Studia Mathematica, Tome 151 (2002), p. 215-241 / Harvested from The Polish Digital Mathematics Library
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Let M be a separable C∞ Finsler manifold of infinite dimension. Then it is proved, amongst other results, that under suitable conditions of local extensibility the germ of a C∞ function, or of a C∞ section of a vector bundle, on the union of a closed submanifold and a closed locally compact set in M, extends to a C∞ function on the whole of M.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:285332 
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C. J. Atkin. Extension of smooth functions in infinite dimensions II: manifolds. Studia Mathematica, Tome 151 (2002) pp. 215-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-3-2/