Type: Article
Publication Date: 1997-01-01
Citations: 29
DOI: https://doi.org/10.4064/sm-125-2-101-129
Let $ε_{{ω}}(I)$ denote the space of all ω-ultradifferentiable functions of Roumieu type on an open interval I in ℝ. In the special case ω(t) = t we get the real-analytic functions on I. For $μ ∈ ε_{{ω}}(I)'$ with $supp(μ) = {0}$ one can define the convol