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Density of Non Quasi-Analytic Classes of Functions
Published online by Cambridge University Press: 20 November 2018
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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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- Copyright © Canadian Mathematical Society 1977