Extension of smooth functions in infinite dimensions II: manifolds

C. J. Atkin. "Extension of smooth functions in infinite dimensions II: manifolds." Studia Mathematica 150.3 (2002): 215-241. <http://eudml.org/doc/285332>.

@article{C2002,
abstract = {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.},
author = {C. J. Atkin},
journal = {Studia Mathematica},
keywords = {Finsler manifold; Extension of smooth functions},
language = {eng},
number = {3},
pages = {215-241},
title = {Extension of smooth functions in infinite dimensions II: manifolds},
url = {http://eudml.org/doc/285332},
volume = {150},
year = {2002},
}

TY - JOUR
AU - C. J. Atkin
TI - Extension of smooth functions in infinite dimensions II: manifolds
JO - Studia Mathematica
PY - 2002
VL - 150
IS - 3
SP - 215
EP - 241
AB - 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.
LA - eng
KW - Finsler manifold; Extension of smooth functions
UR - http://eudml.org/doc/285332
ER -