We characterise the set on which an infinitely differentiable function can be locally polynomial.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-5,
author = {T. W. K\"orner},
title = {Smooth Cantor functions},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {231-238},
zbl = {1125.26006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-5}
}
T. W. Körner. Smooth Cantor functions. Colloquium Mathematicae, Tome 107 (2007) pp. 231-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-5/