Extensions de jets dans des intersections de classes non quasi-analytiques

P. Beaugendre

Annales Polonici Mathematici (2001)

  • Volume: 76, Issue: 3, page 213-243
  • ISSN: 0066-2216

Abstract

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In [3], J. Chaumat and A.-M. Chollet prove, among other things, a Whitney extension theorem, for jets on a compact subset E of ℝⁿ, in the case of intersections of non-quasi-analytic classes with moderate growth and a Łojasiewicz theorem in the regular situation. These intersections are included in the intersection of Gevrey classes. Here we prove an extension theorem in the case of more general intersections such that every C ∞ -Whitney jet belongs to one of them. We also prove a linear extension theorem in the case of a compact set with Markov’s property. These extensions of jets can be chosen to be real-analytic on ℝⁿ∖E. Then we prove a Łojasiewicz theorem.

How to cite

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P. Beaugendre. "Extensions de jets dans des intersections de classes non quasi-analytiques." Annales Polonici Mathematici 76.3 (2001): 213-243. <http://eudml.org/doc/280934>.

@article{P2001,
author = {P. Beaugendre},
journal = {Annales Polonici Mathematici},
keywords = {Whitney jets; non quasi-analytic classes; linear extension of ultradifferentiable functions; Markov sets},
language = {fre},
number = {3},
pages = {213-243},
title = {Extensions de jets dans des intersections de classes non quasi-analytiques},
url = {http://eudml.org/doc/280934},
volume = {76},
year = {2001},
}

TY - JOUR
AU - P. Beaugendre
TI - Extensions de jets dans des intersections de classes non quasi-analytiques
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 3
SP - 213
EP - 243
LA - fre
KW - Whitney jets; non quasi-analytic classes; linear extension of ultradifferentiable functions; Markov sets
UR - http://eudml.org/doc/280934
ER -

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