Arc-smooth functions on closed sets

DOI10.1112/S0010437X19007097zbMath1411.26013arXiv1801.08335MaRDI QIDQ4629450

Armin Rainer

Publication date: 27 March 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08335

zbMATH Keywords

ultradifferentiable functionssubanalytic setsFrölicher spacesBochnak-Siciak theoremBoman's theoremdifferentiability on closed sets

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) (C^infty)-functions, quasi-analytic functions (26E10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Differentiable maps on manifolds (58C25)

Related Items (4)

Nonlinear conditions for ultradifferentiability ⋮ Functions with ultradifferentiable powers ⋮ Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis ⋮ Hölder-Zygmund classes on smooth curves

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