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Whitney’s extension problem for C<sup>m</sup>

Charles Fefferman

Annals of Mathematics · 2006 · 114 citations · 14 references

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Abstract

Let f be a real-valued function on a compact set in R n , and let m be a positive integer. We show how to decide whether f extends to a

References

14

Analytic extensions of differentiable functions defined in closed sets

Hassler Whitney · Transactions of the American Mathematical Society · 1934 · 859 citations

, , +5

A sharp form of Whitney’s extension theorem

Charles Fefferman · Annals of Mathematics · 2005 · 138 citations · Full text

, , +7

Functions Differentiable on the Boundaries of Regions

Hassler Whitney · Annals of Mathematics · 1934 · 129 citations

, , +6

Differentiable functions defined in closed sets. I

Hassler Whitney · Transactions of the American Mathematical Society · 1934 · 106 citations · Full text

, , +6

The Whitney problem of existence of a linear extension operator

Yuri Brudnyi, Pavel Shvartsman · Journal of Geometric Analysis · 1997 · 81 citations

, , +4