We consider the space of ultradifferentiable functions with compact supports and the space of polynomials on . A description of the space of polynomial ultradistributions as a locally convex direct sum is given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-10,
author = {Katarzyna Grasela},
title = {The algebra of polynomials on the space of ultradifferentiable functions},
journal = {Banach Center Publications},
volume = {89},
year = {2010},
pages = {133-143},
zbl = {1202.46045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-10}
}
Katarzyna Grasela. The algebra of polynomials on the space of ultradifferentiable functions. Banach Center Publications, Tome 89 (2010) pp. 133-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-10/