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arXiv · 2112.08463

On optimal solutions of the Borel problem in the Roumieu case

David Nicolas Nenning·Armin Rainer·Gerhard Schindl
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Abstract

The Borel problem for Denjoy--Carleman and Braun--Meise--Taylor classes has well-known optimal solutions. The unified treatment of these ultradifferentiable classes by means of one-parameter families of weight sequences allows to compare these optimal solutions. We determine the relations among them and give conditions for their equivalence in the Roumieu case.

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David Nicolas Nenning, Armin Rainer, Gerhard Schindl. 2021-12-15. On optimal solutions of the Borel problem in the Roumieu case. https://doi.org/10.36045/j.bbms.220322

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