Abstract
We establish a connection between the growth rate of weight functions ω 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 149-153 |
| Number of pages | 5 |
| Journal | Mathematical Notes |
| Volume | 71 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 2002 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Growth rate of a weight function
- Ultradifferentiable function of Beurling type
- Ultradifferentiable function of Roumieu type
- Whitney's extension theorem
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