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arXiv · 1202.1324

Generalized Widder Theorem via fractional moments

Ami Viselter
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Abstract

We provide a necessary and sufficient condition for the representability of a function as the classical multidimensional Laplace transform, when the support of the representing measure is contained in some generalized semi-algebraic set. This is done by employing a method of Putinar and Vasilescu [Putinar, M. and Vasilescu, F.-H., Solving moment problems by dimensional extension, Ann. of Math. (2) 149 (1999), no. 3, 1087-1107] for the corresponding multidimensional moment problem.

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Ami Viselter. 2012-02-07. Generalized Widder Theorem via fractional moments. https://doi.org/10.1016/j.jfa.2008.08.002

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