Geodesic
Tauberian Theorem for the Stieltjes Transform
Matematičeskie zametki, Tome 73 (2003) no. 2, pp. 305-314.

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

Under weak constraints on the positive functions to be compared, we derive their asymptotic equivalence at infinity as a consequence of the asymptotic equivalence of their Stieltjes transforms at infinity. 
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A. L. Yakymiv. Tauberian Theorem for the Stieltjes Transform. Matematičeskie zametki, Tome 73 (2003) no. 2, pp. 305-314. http://geodesic.mathdoc.fr/item/MZM_2003_73_2_a14/

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