Opuscula Mathematica

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.
Cite this article as:
Katarzyna Grasela, Polynomials on the space of ω-ultradifferentiable functions, Opuscula Math. 27, no. 2 (2007), 221-230
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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