Geodesic
Extending Peano derivatives: necessary and sufficient conditions
Fundamenta Mathematicae, Tome 159 (1999) no. 3, pp. 219-229.

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The paper treats functions which are defined on closed subsets of [0,1] and which are k times Peano differentiable. A necessary and sufficient condition is given for the existence of a k times Peano differentiable extension of such a function to [0,1]. Several applications of the result are presented. In particular, functions defined on symmetric perfect sets are studied.
DOI : 10.4064/fm-159-3-219-229

Hans Volkmer 1

1 
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Hans Volkmer. Extending Peano derivatives: necessary and sufficient conditions. Fundamenta Mathematicae, Tome 159 (1999) no. 3, pp. 219-229. doi : 10.4064/fm-159-3-219-229. http://geodesic.mathdoc.fr/articles/10.4064/fm-159-3-219-229/

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