On the Extension of Differentiable Functions
Hassler Whitney · Birkhäuser Boston eBooks · 1992
The author has shown previously how to extend the definition of a function of class C m defined in a closed set A so it will be of class C m throughout space (see [l]). 1 Here we shall prove a uniformity property: If the function and its derivatives are sufficiently small in A, then they may be made small throughout space. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.