Density of Non Quasi-Analytic Classes of Functions
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 467-469
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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.
Pham-Gia, Thu. Density of Non Quasi-Analytic Classes of Functions. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 467-469. doi: 10.4153/CMB-1977-069-3
@article{10_4153_CMB_1977_069_3,
author = {Pham-Gia, Thu},
title = {Density of {Non} {Quasi-Analytic} {Classes} of {Functions}},
journal = {Canadian mathematical bulletin},
pages = {467--469},
year = {1977},
volume = {20},
number = {4},
doi = {10.4153/CMB-1977-069-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-069-3/}
}
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