Generalized Widder Theorem via fractional moments
Copyright policy )Generalized Widder Theorem via fractional moments
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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Laplace transform, Multidimensional fractional moment problem, Widder Theorem, Functional Analysis (math.FA), Mathematics - Functional Analysis, multidimensional fractional moment problem, Widder theorem, FOS: Mathematics, 47A57 (Primary), 14P10, 44A10, 44A60, 47A13, 47B15 (Secondary), Linear operator methods in interpolation, moment and extension problems, Analysis
Laplace transform, Multidimensional fractional moment problem, Widder Theorem, Functional Analysis (math.FA), Mathematics - Functional Analysis, multidimensional fractional moment problem, Widder theorem, FOS: Mathematics, 47A57 (Primary), 14P10, 44A10, 44A60, 47A13, 47B15 (Secondary), Linear operator methods in interpolation, moment and extension problems, Analysis
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