Opuscula Math. 27, no. 2 (2007), 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.
- Katarzyna Grasela
- Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24, Cracow, Poland
- Received: 2007-01-31.
