Tauberian theorem for the distributional Stieltjes transformation.
Nikolić-Despotović, D., Pilipović, S. (1986)
International Journal of Mathematics and Mathematical Sciences
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Nikolić-Despotović, D., Pilipović, S. (1986)
International Journal of Mathematics and Mathematical Sciences
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Nikolic-Despotovic, D., Takaci, A. (1986)
International Journal of Mathematics and Mathematical Sciences
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U. Stadtmüller, R. Trautner (1979)
Journal für die reine und angewandte Mathematik
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Stevan Pilipović (1990)
Publications de l'Institut Mathématique
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Balanzario, E. P., Marmolejo-Olea, E. (2003)
International Journal of Mathematics and Mathematical Sciences
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Yu. N. Drozzinov, B. I. Zavailov (1990)
Publications de l'Institut Mathématique
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Ricardo Estrada, Jasson Vindas (2013)
Czechoslovak Mathematical Journal
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We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We employ two types of Tauberian hypotheses; the first kind involves distributional boundedness, while the second type imposes a one-sided assumption on the Cesàro behavior of the distribution. We apply these Tauberian results to deduce a number of Tauberian theorems for power series and Stieltjes integrals where Cesàro summability follows...
Časlav V. Stanojević, Vera B. Stanojević (2002)
Publications de l'Institut Mathématique
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U. Stadtmüller, R. Trautner (1981)
Journal für die reine und angewandte Mathematik
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