Tauberian Retrieval Theory
Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 105 .

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Karamata's Hauptsatz [11] and its corollary is the main tool for convergence recovery from Abel's necessary conditions and the control of oscillatory behavior of limiting processes. By modifying the basic discovery from [11], relaxing Abel's necessary conditions and lightening the control of oscillatory behavior an extended Tauberian theory is outlined. This theory goes beyond convergence recovery. It retrieves various kinds of moderate divergence.
DOI : 10.2298/PIM0271105S
Classification : 40E05
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Časlav V. Stanojević; Vera B. Stanojević. Tauberian Retrieval Theory. Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 105 . doi : 10.2298/PIM0271105S. http://geodesic.mathdoc.fr/articles/10.2298/PIM0271105S/

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