On the Extension of Differentiable Functions

  • Hassler Whitney
Part of the Contemporary Mathematicians book series (CM)


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.


Finite Number Differentiable Function Preceding Theorem Concentric Region Boundedness Condition 
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© Birkhäuser Boston 1992

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  • Hassler Whitney

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