Quasianalytic ultradifferentiability cannot be tested in lower dimensions

DOI10.36045/bbms/1576206353zbMath1434.26070arXiv1810.10767OpenAlexW2996406244MaRDI QIDQ2295711

Armin Rainer

Publication date: 14 February 2020

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.10767

zbMATH Keywords

ultradifferentiable classDenjoy-Carleman classquasianalyticOsgood-Hartogs-type problem

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) (C^infty)-functions, quasi-analytic functions (26E10) Differentiable maps on manifolds (58C25) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (4)

Nonlinear conditions for ultradifferentiability ⋮ Ultradifferentiable extension theorems: a survey ⋮ Functions with ultradifferentiable powers ⋮ Quantitative tame properties of differentiable functions with controlled derivatives

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