Geodesic
Quasianalyticity of the sum of a~lacunary series
Sbornik. Mathematics, Tome 28 (1976) no. 3, pp. 389-419

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We present a simple method, which as far as we know is different from all previous methods, for proving a theorem of Mandelbrojt (Quasianafytic classes of functions, ONTI, Leningrad–Moscow, 1937, p. 84) and its generalizations. It is shown that this method leads to very precise theorems for lacunary series. Bibliography: 5 titles. 
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     author = {A. S. Belov},
     title = {Quasianalyticity of the sum of a~lacunary series},
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A. S. Belov. Quasianalyticity of the sum of a~lacunary series. Sbornik. Mathematics, Tome 28 (1976) no. 3, pp. 389-419. http://geodesic.mathdoc.fr/item/SM_1976_28_3_a8/