Opuscula Math.
27
, no. 2
(), 221-230
Opuscula Mathematica

# Polynomials on the space of ω-ultradifferentiable functions

Abstract. The space of polynomials on the the space $$D_{\omega}$$ of $$\omega$$-ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of $$D^{\prime}_{\omega}$$.
Keywords: $$\omega$$-ultradifferentiable functions, polynomial ultradistributions.
Mathematics Subject Classification: 46F25, 46F10, 44A10.