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Tauberian theorem for the Stieltjes transform - MaRDI portal

Tauberian theorem for the Stieltjes transform (Q1810309)

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scientific article; zbMATH DE number 1928387
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Tauberian theorem for the Stieltjes transform
scientific article; zbMATH DE number 1928387

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    Tauberian theorem for the Stieltjes transform (English)
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    15 June 2003
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    The author proves an inversion theorem of Tauberian type for the Stieltjes transform, which gives an asymptotic equivalence at infinity of the positive functions under weak constraints as a consequence of the asymptotic equivalence of their Stieltjes transforms at infinity.
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    Tauberian theorem
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    Stieltjes transform
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    oscillating functions
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