A Fréchet space of distributions which is stable under differential operators is continuously included in ${\mathcal C}^\infty$. We give extensions of this result to the ultradifferentiable setting and show their connection with the problem of iterates of differential operators
Publié le : 2011-03-15
Classification:
ultradistributions,
elliptic and hypoelliptic polynomials,
iterates of an operator,
46F05,
47F05
@article{1301497746,
author = {Fern\'andez, Carmen and Galbis, Antonio and Juan-Huguet, Jordi},
title = {Fr\'echet spaces invariant under differential operators},
journal = {Funct. Approx. Comment. Math.},
volume = {44},
number = {1},
year = {2011},
pages = { 45-61},
language = {en},
url = {http://dml.mathdoc.fr/item/1301497746}
}
Fernández, Carmen; Galbis, Antonio; Juan-Huguet, Jordi. Fréchet spaces invariant under differential operators. Funct. Approx. Comment. Math., Tome 44 (2011) no. 1, pp. 45-61. http://gdmltest.u-ga.fr/item/1301497746/