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

作者：Grasela Katarzyna^*

来源：Mathematica Slovaca, 2010, 60(1): 97-120.

DOI：10.2478/s12175-009-0170-z

• ultradistributions of Roumieu type
• polynomial ultradistributions
• generalized derivation

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

• 出版日期2010-2