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Tauberian Theorem for the Stieltjes Transform

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Abstract

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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  1. V. A. Steklov Mathematics Institute, Russian Academy of Sciences, Russia

    A. L. Yakymiv

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  1. A. L. Yakymiv
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Yakymiv, A.L. Tauberian Theorem for the Stieltjes Transform. Mathematical Notes 73, 280–288 (2003). https://doi.org/10.1023/A:1022175512620

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