Whitney's extension problems and interpolation of data

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Given a function f : E R{double-struck} with E ⊂ R{double-struck}n, we explain how to decide whether f extends to a Cm function F on R{double-struck}n.IfE is finite, then one can efficiently compute an F as above, whose Cm norm has the least possible order of magnitude (joint work with B. Klartag).

Original languageEnglish (US)
Pages (from-to)207-220
Number of pages14
JournalBulletin of the American Mathematical Society
Issue number2
StatePublished - Apr 2009

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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