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Bernsteins theorem for completely excessive measures

Published online by Cambridge University Press:  22 January 2016

Hedi Ben Saad  and
Klaus Janßen
Hedi Ben Saad
Affiliation:
Fac. des Sciences de Tunis Dépt. de Mathématiques, 1060 Tunis-Belvedère, Tunisie
Klaus Janßen
Affiliation:
Mathematisches Institut der Universität Düsseldorf, Universitätsstr. 1, Düsseldorf
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Bernstein’s theorem states that the following properties are equivalent for a function ψ:]0, ∞ [→ R (which then is called completely monotone):

moreover, the measure σ in iii) is uniquely determined.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 119 , September 1990 , pp. 133 - 141
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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