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.
All Science Journal Classification (ASJC) codes
- Growth rate of a weight function
- Ultradifferentiable function of Beurling type
- Ultradifferentiable function of Roumieu type
- Whitney's extension theorem