Differentiable functions

DOI10.1007/BF02584636zbMath0584.58006OpenAlexW4249785116MaRDI QIDQ3706971

Edward Bierstone

Publication date: 1980

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02584636

zbMATH Keywords

analytic functionsformal power seriesResolution of singularitiesWhitney's extension theoremdifferential functionslocal questions in real analysisMalgrange- Mather division theorem

Mathematics Subject Classification ID

Differentiable maps on manifolds (58C25)

Related Items (27)

Analytic dependence is an unnecessary requirement in renormalization of locally covariant QFT ⋮ Łojasiewicz inequalities for sets definable in the structure \({\mathbb R}_{\text{exp}}\) ⋮ Semianalytic and subanalytic sets ⋮ Rigid centres on the center manifold of tridimensional differential systems ⋮ Markov-Type Inequalities with Applications in Multivariate Approximation Theory ⋮ Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group ⋮ Smooth maps on convex sets ⋮ The Newton product of polynomial projectors. II: Approximation properties ⋮ A \(C^{m,\omega}\) Whitney extension theorem for horizontal curves in the Heisenberg group ⋮ Nilpotent centers from analytical systems on center manifolds ⋮ Generic transitivity for couples of Hamiltonians ⋮ A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group ⋮ Arc-smooth functions on closed sets ⋮ Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ A \(C^m\) Lusin approximation theorem for horizontal curves in the Heisenberg group ⋮ Dacorogna-Moser theorem on the Jacobian determinant equation with control of support ⋮ Locality in the Fukaya category of a hyperkähler manifold ⋮ Renormalization of quantum field theory on Riemannian manifolds ⋮ Finitely-generated algebras of smooth functions, in one dimension ⋮ Smooth extension theorems for one variable maps ⋮ Multivariate Jackson inequality ⋮ On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain ⋮ Invariants of class \(C^k\) for finite Coxeter groups and their representations in terms of anisotropic spaces ⋮ Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps ⋮ Examples of Pathological Dynamics of the Subgradient Method for Lipschitz Path-Differentiable Functions ⋮ On the Whitney-Schwartz theorem ⋮ Extending Whitney's extension theorem: nonlinear function spaces

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