Opuscula Math. 27, no. 2 (2007), 221-230

Opuscula Mathematica

# Polynomials on the space of ω-ultradifferentiable functions

Katarzyna Grasela

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.

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• Katarzyna Grasela
• Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24, Cracow, Poland