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Peano differentiable extensions in o-minimal structures

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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Geometry de Gruyter

Peano differentiable extensions in o-minimal structures

Fischer, Andreas
Advances in Geometry , Volume 10 (1) – Jan 1, 2010
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19 pages

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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
1615-715X
eISSN
1615-7168
DOI
10.1515/ADVGEOM.2009.026
Publisher site
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Abstract

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.

Journal

Advances in Geometry – de Gruyter

Published: Jan 1, 2010

Keywords: o-minimal structure; Peano derivative; extensions

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