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Stability Zones in Whitney's Extension Problem for Ultradifferentiable Functions |
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| Authors: | Abanin D. A. |
| Affiliation: | (1) Moscow Institute of Physics and Technology, Russia |
| Abstract: | We establish a connection between the growth rate of weight functions  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. |
| Keywords: | Whitney's extension theorem ultradifferentiable function of Beurling type ultradifferentiable function of Roumieu type growth rate of a weight function |
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