Geodesic
Convergence of simple partial fractions in~$L_p(\mathbb R)$
Sbornik. Mathematics, Tome 201 (2010) no. 7, pp. 985-997

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {V. I. Danchenko},
     title = {Convergence of simple partial fractions in~$L_p(\mathbb R)$},
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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/