Geodesic
Distribution of the zeros of canonical products and weighted condensation index
Sbornik. Mathematics, Tome 206 (2015) no. 9, pp. 1299-1339 Cet article a éte moissonné depuis la source Math-Net.Ru

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Canonical products with symmetrically positioned real zeros are considered. The question of the measurability of the sequence of zeros in terms of the weighted condensation index is treated. A natural class of weight functions, for which a finite condensation index ensures that the sequence of zeros is measurable, is distinguished. The main condition characterizing this class is shown to be sharp. Bibliography: 31 titles.
Keywords: canonical product, measurable sequence of zeros
Mots-clés : condensation index. 
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V. B. Sherstyukov. Distribution of the zeros of canonical products and weighted condensation index. Sbornik. Mathematics, Tome 206 (2015) no. 9, pp. 1299-1339. http://geodesic.mathdoc.fr/item/SM_2015_206_9_a4/

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