Name: Density of Non Quasi-Analytic Classes of Functions
Creator: Thu Pham-Gia
Keywords: quasi-analytic Ii functions, quasi-analytic I functions, \(C^\infty\)-functions, quasi-analytic functions, 0101 mathematics, 01 natural sciences, density of non quasi-analytic classes

Density of non quasi-analytic classes of functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1977 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 20, pages 467-469 (issn: 0008-4395, eissn: 1496-4287,

Authors: Thu Pham-Gia;

doi: 10.4153/cmb-1977-069-3

Density of Non Quasi-Analytic Classes of Functions

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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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Université de Moncton
Canada

Keywords

quasi-analytic Ii functions, quasi-analytic I functions, \(C^\infty\)-functions, quasi-analytic functions, density of non quasi-analytic classes

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