Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de ℝ n

Vincent Thilliez

Annales Polonici Mathematici (1996)

  • Volume: 63, Issue: 1, page 71-88
  • ISSN: 0066-2216

Abstract

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Considering jets, or functions, belonging to some strongly non-quasianalytic Carleman class on compact subsets of ℝ n , we extend them to the whole space with a loss of Carleman regularity. This loss is related to geometric conditions refining Łojasiewicz’s “regular separation” or Whitney’s “property (P)”.

How to cite

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Vincent Thilliez. "Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de $ℝ^n$." Annales Polonici Mathematici 63.1 (1996): 71-88. <http://eudml.org/doc/262539>.

@article{VincentThilliez1996,
author = {Vincent Thilliez},
journal = {Annales Polonici Mathematici},
keywords = {Carleman class; extension theorem; Łojasiewicz inequalities; Whitney regularity; Łojasiewicz’s inequality; non-quasianalytic Carleman classes; Whitney jets; extension; non-quasianalytic function; Carleman regularity},
language = {fre},
number = {1},
pages = {71-88},
title = {Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de $ℝ^n$},
url = {http://eudml.org/doc/262539},
volume = {63},
year = {1996},
}

TY - JOUR
AU - Vincent Thilliez
TI - Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de $ℝ^n$
JO - Annales Polonici Mathematici
PY - 1996
VL - 63
IS - 1
SP - 71
EP - 88
LA - fre
KW - Carleman class; extension theorem; Łojasiewicz inequalities; Whitney regularity; Łojasiewicz’s inequality; non-quasianalytic Carleman classes; Whitney jets; extension; non-quasianalytic function; Carleman regularity
UR - http://eudml.org/doc/262539
ER -

References

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  8. [P] W. Pleśniak, Extension and polynomial approximation of ultradifferentiable functions in ℝ N , Bull. Soc. Roy. Sci. Liège 63 (1994), 393-402. Zbl0816.26009
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