Composite differentiable functions

DOI10.1215/S0012-7094-96-08318-0zbMath0868.32011arXivalg-geom/9506001MaRDI QIDQ5917817

Wiesław Pawłucki, Pierre D. Milman, Edward Bierstone

Publication date: 21 August 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9506001

zbMATH Keywords

real analytic mapping\(C^ \infty\) composition function property

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items

On the algebra of functions 𝒞^{𝓀}-extendable for each 𝓀 finite ⋮ On composite ultradifferentiable functions ⋮ Composition operators with closed range for one-dimensional smooth symbols ⋮ Extension operators for smooth functions on compact subsets of the reals ⋮ Arc-smooth functions on closed sets ⋮ ON DIVISION OF QUASIANALYTIC FUNCTION GERMS ⋮ Restrictions of smooth functions to a closed subset. ⋮ The local classifications of the ruled surfaces of normals and binormals of a regular space curve ⋮ \( \mathcal{C}^m\) solutions of semialgebraic or definable equations ⋮ Characterization of composition operators with closed range for one-dimensional smooth symbols ⋮ Remarks on the generalized Hestenes's Lemma ⋮ Finitely-generated algebras of smooth functions, in one dimension ⋮ Quasi-Nash varieties and Schwartz functions on them ⋮ Invariant Whitney functions

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