Generalized Widder Theorem via fractional moments |
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| Authors: | Ami Viselter |
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| Institution: | Department of Mathematics, Bar Ilan University, 52900 Ramat-Gan, Israel |
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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 M. Putinar, F.-H. Vasilescu, Solving moment problems by dimensional extension, Ann. of Math. (2) 149 (3) (1999) 1087-1107] for the corresponding multidimensional moment problem. |
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| Keywords: | Multidimensional fractional moment problem Widder Theorem Laplace transform |
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