Extension properties in intersections of non quasi-analytic classes

Authors

  • Jean Schmets
  • Manuel Valdivia

DOI:

https://doi.org/10.1285/i15900932v25n2p159

Keywords:

Extension theorem, Non quasi-analytic class, Whitney jet

Abstract

Let K be a non empty compact subset of $Rr$.In [3], J. Chaumat and A.-M. Chollet introduce certain sequences of moderate growth,consider the corresponding intersections of non quasi-analytic classes of jets on K and of functions on $Rr$ and give a Whitney type extension theorem in this situation. These results have already been extended by P. Beaugendre in [1]. Here we continue this research, relaxing the conditions on the sequences and obtaining analytic extensions.

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Published

01-06-2006

Issue

Volume 25, Issue 2 (2006)

Section

Articoli

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