Algebras of polynomials on locally convex spaces of ultradifferentiable functions and generalized derivation

Year, pages: 2010, 97 - 120

We consider the space ${\mathcal D}^{\mathcal M}$ of ultradifferentiable functions with compact supports and the space of polynomials on ${\mathcal D}^{\mathcal M}$. Description of the polynomials algebra ${\mathcal P}({\mathcal D}^{\mathcal M})$ as a locally convex direct sum is given. Derivation in ${\mathcal P}({\mathcal D}^{\mathcal M})$ and automorphisms of this algebra are considered.

Grasela, K. 2010. Algebras of polynomials on locally convex spaces of ultradifferentiable functions and generalized derivation. In Mathematica Slovaca, vol. 60, no.1, pp. 97-120. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0170-z

Grasela, K. (2010). Algebras of polynomials on locally convex spaces of ultradifferentiable functions and generalized derivation. Mathematica Slovaca, 60(1), 97-120. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0170-z