Geodesic
On the Laplace Transforms of Logconcave Densities
Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 9

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This paper describes for any given logconcave density $f$ the set of all finite measures $\mu$ whose Laplace transforms are asymptotic to the Laplace transform of $f$. It is shown that the density of $\mu$ is asymptotic to $f$ if it is logconcave. Thus logconcavity is a Tauberian condition for Laplace transforms of finite measures.
DOI : 10.2298/PIM0271009B
Classification : 60E10 44A10 40E05 
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     author = {A.A. Balkema},
     title = {On the {Laplace} {Transforms} of {Logconcave} {Densities}},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
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A.A. Balkema. On the Laplace Transforms of Logconcave Densities. Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 9 . doi: 10.2298/PIM0271009B

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