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Restrictions of smooth functions to a closed subset.

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Publication:1774080
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DOI10.5802/aif.2067zbMath1083.26009arXivmath/0312226OpenAlexW1484341408MaRDI QIDQ1774080

Shuzo Izumi

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312226


zbMATH Keywords

flatnessself-similar setsmooth functionshigher order paratangent bundlemulti-dimensional Vandermonde matrixSpallek theoremWhitney problem


Mathematics Subject Classification ID

Fractals (28A80) Continuity and differentiation questions (26B05) Differentiable maps on manifolds (58C25)


Related Items (1)

Positivity, entanglement entropy, and minimal surfaces



Cites Work

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  • Flatness of differentiable functions along a subset of a real analytic set
  • Étude de quelques algèbres tayloriennes
  • A formula for Kergin interpolation in \(R^ k\).
  • A natural interpolation of \(C^ k \)functions
  • l-platte Funktionen auf semianalytischen Mengen
  • Differentiable functions defined in closed sets. A problem of Whitney
  • Multivariate splines and polynomial interpolation
  • Differentiable Functions Defined in Closed Sets. I
  • Composite differentiable functions


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