Interpolation and Extrapolation of Smooth Functions by Linear Operators
نویسنده
چکیده
Let C(R) be the space of functions on R whose m derivatives are Lipschitz 1. For E ⊂ R, let C(E) be the space of all restrictions to E of functions in C(R). We show that there exists a bounded linear operator T : C(E)→ C(R) such that, for any f ∈ C(E), we have Tf = f on E.
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