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Mathematical Reviews
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Item type:Publication, research article[2014][S1][N001][11]Lithuanian mathematical journal. New York : Springer, 2014, vol. 54, no. 2., p. 192-202We propose necessary and sufficient conditions for a complex-valued function f on Rn to be a characteristic function of a probability measure. Certain analytic extensions of f to tubular domains in Cn are studied. In order to extend the class of functions under study, we also consider the case where f is a generalized function (distribution). The main result is given in terms of completely monotonic functions on convex cones in Rn.
6 Item type:Publication, research article[2010][S1b][N001][29]; Steuding, JörnMathematische Semesterberichte. Berlin : Springer-Verlag, 2010, vol. 57, no. 2., p. 201-2291Scopus© Citations 2