On the Borel mapping in the quasianalytic setting

DOI10.7146/math.scand.a-97101zbMath1378.26027arXiv1509.05565OpenAlexW2249725895MaRDI QIDQ4589131

Armin Rainer, Gerhard Schindl

Publication date: 7 November 2017

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05565

zbMATH Keywords

Borel mappingDenjoy-Carleman classesquasi-analyticityBeurling-type classRoumieu-type class

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10)

Related Items (11)

How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes? ⋮ On the maximal extension in the mixed ultradifferentiable weight sequence setting ⋮ The theorem of iterates for elliptic and non-elliptic operators ⋮ Ultradifferentiable extension theorems: a survey ⋮ On optimal solutions of the Borel problem in the Roumieu case ⋮ The Borel map in the mixed Beurling setting ⋮ On generalized definitions of ultradifferentiable classes ⋮ On the extension of Whitney ultrajets of Beurling type ⋮ The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces ⋮ On the construction of large algebras not contained in the image of the Borel map ⋮ On the surjectivity of the Borel mapping for some quasi-analytic rings

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