W. Volk, PROPERTIES OF SUBSPACES GENERATED BY AN INFINITELY OFTEN DIFFERENTIABLE FUNCTION AND ITS TRANSLATES, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 575-576
An infinitely often differentiable function on the real line with comp
act support is introduced. The behavior as well as some of its propert
ies are discussed. Subspaces of C[a,b] generated by this function and
its translates possess desirable properties for approximation purposes
. These spaces include polynomials up to a definite degree.