Abstract

In the study of quasi-analytic classes (see [3], pp. 372-379), a class C{Mn} is shown to have the following properties:(a)If M0= 1 and (i.e. {Mn} is log convex), C{Mn} forms an algebra.(b)C{Mn} is invariant under affine transformations.(c)C{Mn} is quasi-analytic iff it contains non non-trivial function with compact support.

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