Geodesic
Stability Zones in Whitney's Extension Problem for Ultradifferentiable Functions
Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 163-167 
D. A. Abanin. Stability Zones in Whitney's Extension Problem for Ultradifferentiable Functions. Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 163-167. http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a0/
@article{MZM_2002_71_2_a0,
     author = {D. A. Abanin},
     title = {Stability {Zones} in {Whitney's} {Extension} {Problem} for {Ultradifferentiable} {Functions}},
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     pages = {163--167},
     year = {2002},
     volume = {71},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a0/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We establish a connection between the growth rate of weight functions $\omega$ generating nonquasianalytic classes of ultradifferentiable functions of Beurling and Roumieu type and the validity of an analog of Whitney's extension theorem for these classes.

[1] Brown R. W., Meise R., Taylor B. A., “Ultradifferentiable functions and Fourier analysis”, Results Math., 17 (1990), 206–237 | MR

[2] Meise R., Taylor B. A., “Whitney's extension theorem for ultradifferentiable functions of Beurling type”, Ark. Mat., 26 (1988), 265–287 | DOI | MR | Zbl

[3] Bonet J., Meise R., Taylor B. A., “Whitney's extension theorem for ultradifferentiable functions of Roumieu type”, Proc. Royal Irish Acad., 89A (1989), 53–66 | MR

[4] Bonet J., Brown R. W., Meise R., Taylor B. A., “Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions”, Stud. Math., 99 (1991), 155–184 | MR | Zbl