Geodesic
Localization of smooth and smoothing of uniformly continuous mappings
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 182-195

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of representation of a smooth function as a sum of compactly supported functions of the same smoothness with supports of an arbitrarily small size is solved, as well as the problem of uniform approximation of uniformly continuous (smooth) mappings by mappings having the maximal possible local and uniform smoothness. 
@article{TIMM_2005_11_2_a13,
     author = {I. G. Tsar'kov},
     title = {Localization of smooth and smoothing of uniformly continuous mappings},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {182--195},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a13/}
}
TY  - JOUR
AU  - I. G. Tsar'kov
TI  - Localization of smooth and smoothing of uniformly continuous mappings
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2005
SP  - 182
EP  - 195
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a13/
LA  - ru
ID  - TIMM_2005_11_2_a13
ER  - 
%0 Journal Article
%A I. G. Tsar'kov
%T Localization of smooth and smoothing of uniformly continuous mappings
%J Trudy Instituta matematiki i mehaniki
%D 2005
%P 182-195
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a13/
%G ru
%F TIMM_2005_11_2_a13
I. G. Tsar'kov. Localization of smooth and smoothing of uniformly continuous mappings. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 182-195. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a13/