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Zeitschrift für Analysis und ihre Anwendungen

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Volume 6, Issue 4, 1987, pp. 341–349
DOI: 10.4171/ZAA/255

Published online: 1987-08-31

Abelian Theorem for the Distributional Stieltjes Transform

Stevan Pilipović[1] and Bogoljub Stanković[2]

(1) University Novi Sad, Serbia
(2) University Novi Sad, Serbia

Using the notion of quasi-asymptotic behaviour at infinity of tempered distributions, we give an Abelian theorem for the distributional Stieltjes transform. It includes all known results, as well as some new ones.

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Pilipović Stevan, Stanković Bogoljub: Abelian Theorem for the Distributional Stieltjes Transform. Z. Anal. Anwend. 6 (1987), 341-349. doi: 10.4171/ZAA/255