Arithmetical Tauberian theorems
P. Erdös, A. Ingham (1964)
Acta Arithmetica
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P. Erdös, A. Ingham (1964)
Acta Arithmetica
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Balanzario, E. P., Marmolejo-Olea, E. (2003)
International Journal of Mathematics and Mathematical Sciences
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Grishin, A.F., Poedintseva, I.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Časlav V. Stanojević, Vera B. Stanojević (2002)
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...
Teresa Alvarez, Manuel González Ortiz (1989)
Extracta Mathematicae
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Videnskiĭ, I.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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