Generalized Widder Theorem via fractional moments

Details Generalized Widder Theorem via fractional moments Generalized Widder Theorem via fractional moments

2012-02-07

arxiv.org/abs/1202.1324v1

J. Funct. Anal. 256, no. 2 (2009), 594-602

Mathematics

Functional Analysis

Differs slightly from the final (published) version

Scientific paper

10.1016/j.jfa.2008.08.002

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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