We give two kinds of direct sum decompositions of the class of infinitely differentiabe functions. They are related to the kernel of the higher order partial derivative operator and the polynomial space.
Publié le : 2008-07-15
Classification:
partial primitives,
quasi-polynomials,
direct sum decompositions,
26B35,
26C99
@article{1220619457,
author = {Kurokawa, Takahide},
title = {Partial primitives, polyprimitives and decompositions of the class of infinitely differentiable
functions},
journal = {Hiroshima Math. J.},
volume = {38},
number = {1},
year = {2008},
pages = { 203-223},
language = {en},
url = {http://dml.mathdoc.fr/item/1220619457}
}
Kurokawa, Takahide. Partial primitives, polyprimitives and decompositions of the class of infinitely differentiable
functions. Hiroshima Math. J., Tome 38 (2008) no. 1, pp. 203-223. http://gdmltest.u-ga.fr/item/1220619457/