Opuscula Math. 27, no. 2 (2007), 221-230
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.
About the authors ▼
Katarzyna Grasela
Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24, Cracow, Poland
About the article ▼
Received: 2007-01-31.
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Katarzyna Grasela, Polynomials on the space of ω-ultradifferentiable functions, Opuscula Math. 27, no. 2 (2007), 221-230,
http://dx.doi.org/10.7494/OpMath.2007.27.2.221.
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