Geodesic
Convergence of simple partial fractions in $L_p(\mathbb R)$
Sbornik. Mathematics, Tome 201 (2010) no. 7, pp. 985-997 Cet article a éte moissonné depuis la source Math-Net.Ru

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The convergence in the $L_p(\mathbb R)$-metric of series whose partial sums are simple partial fractions is investigated. Several convergence conditions in terms of sequences of poles of these series are obtained. Bibliography: 12 titles.
Keywords: duality, sparse sequences.
Mots-clés : simple partial fractions 
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V. I. Danchenko. Convergence of simple partial fractions in $L_p(\mathbb R)$. Sbornik. Mathematics, Tome 201 (2010) no. 7, pp. 985-997. http://geodesic.mathdoc.fr/item/SM_2010_201_7_a2/

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