Geodesic
Stability Zones in Whitney's Extension Problem for Ultradifferentiable Functions
Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 163-167

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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. 
@article{MZM_2002_71_2_a0,
     author = {D. A. Abanin},
     title = {Stability {Zones} in {Whitney's} {Extension} {Problem} for {Ultradifferentiable} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {163--167},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a0/}
}
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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/