Tauberian constants for the Riesz transforms of different orders.
Soraya Sherif (1963)
Mathematische Zeitschrift
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Soraya Sherif (1963)
Mathematische Zeitschrift
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D. Borwein, B. Watson (1978)
Journal für die reine und angewandte Mathematik
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U. Stadtmüller (1981)
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U. Stadtmüller, R. Trautner (1981)
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David Borwein, Irvine J.W. Robinson (1975)
Journal für die reine und angewandte Mathematik
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D. Borwein, B. Watson (1976)
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U. Stadtmüller, R. Trautner (1979)
Journal für die reine und angewandte Mathematik
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Sin Phing Moo Strube (1975)
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K. Anjaneyulu (1966)
Mathematische Zeitschrift
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Vytas Zacharovas (2011)
Acta Arithmetica
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M. S. Rangachari (1969)
Colloquium Mathematicae
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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...