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Dominated variation and related concepts and Tauberian theorems for Laplace transforms
Authors:L de Haan  U Stadtmüller
Affiliation:Erasmus University Rotterdam, Econometric Institute, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands;Universität Ulm, Abt. f. Math. I, Ob. Eselsberg, 7900 Ulm, West Germany
Abstract:
Some Abelian and Tauberian theorems are proved under conditions of dominated variation and related concepts. For example U is dominatedly varying if and only if its Laplace-Stieltjes transform is dominatedly varying.
Keywords:
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