2007-09-26Zeitschriftenartikel DOI: 10.1515/ADVGEOM.2009.026
Peano differentiable extensions in o-minimal structures
Peano differentiability generalizes ordinary differentiability to higher order. There are two ways to define Peano differentiability for functions defined on non-open sets. For both concepts, we investigate the question under which conditions a function defined on a closed set can be extended to a Peano differentiable function on the ambient space if the sets and functions are definable in an o-minimal structure expanding a real closed field.
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