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/