Ultradifferentiable extension theorems: a survey

DOI10.1016/j.exmath.2021.12.001OpenAlexW4205463077WikidataQ113874248 ScholiaQ113874248MaRDI QIDQ2674687

Armin Rainer

Publication date: 14 September 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01061

zbMATH Keywords

Borel mapextension operatorsultradifferentiable classesWhitney's extension theorem(non-)quasianaliticity

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) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Rings and algebras of continuous, differentiable or analytic functions (46E25) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (5)

On optimal solutions of the Borel problem in the Roumieu case ⋮ Quantitative tame properties of differentiable functions with controlled derivatives ⋮ The Borel map in the mixed Beurling setting ⋮ On generalized definitions of ultradifferentiable classes ⋮ Almost reducibility of quasiperiodic \(SL(2, \mathbb{R})\)-cocycles in ultradifferentiable classes

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