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On the behaviour of the distributional Stieltjes transformation at the origin - MaRDI portal

On the behaviour of the distributional Stieltjes transformation at the origin (Q1812708)

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scientific article; zbMATH DE number 4020
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On the behaviour of the distributional Stieltjes transformation at the origin
scientific article; zbMATH DE number 4020

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    On the behaviour of the distributional Stieltjes transformation at the origin (English)
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    25 June 1992
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    Summary: The behaviour of the distributional Stieltjes transformation at the origin 0 is investigated for distributions of \({\mathcal S}_ +'\) having appropriate quasiasymptotic behaviour at \(0^ +\). These new results follow by known ones for the asymptotic behaviour at \(\infty\). A Tauberian-type result for the behaviour at 0 is also obtained.
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    distributional Stieltjes transformation
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    behaviour at the origin
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    Tauberian-type result
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