The algebra of polynomials on the space of ultradifferentiable functions
Volume 88 / 2010
Banach Center Publications 88 (2010), 133-143
MSC: Primary 46F25; Secondary 46F10, 44A10.
DOI: 10.4064/bc88-0-10
Abstract
We consider the space ${\mathcal D}^{\mathcal M}$ of ultradifferentiable functions with compact supports and the space of polynomials on ${\mathcal D}^{\mathcal M}$. A description of the space ${\mathcal P}({\mathcal D}^{\mathcal M})$ of polynomial ultradistributions as a locally convex direct sum is given.
