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On the projective description of spaces of ultradifferentiable functions of Roumieu type

Book Contribution - Book Chapter Conference Contribution

We provide a projective description of the space E{M}(Ω) of ultradifferentiable functions of Roumieu type, where Ω is an arbitrary open set in Rd and M is a weight matrix satisfying the analogue of Komatsu’s condition (M.2)′. In particular, we obtain in a unified way projective descriptions of ultradifferentiable classes defined via a single weight sequence (Denjoy-Carleman approach) and via a weight function (Braun-Meise-Taylor approach) under considerably weaker assumptions than in earlier versions of these results.
Book: Current trends in analysis, its applications and computation : proceedings of the 12th ISAAC congress, Aveiro, Portugal, 2019
Pages: 363 - 372
Publication year:2022