| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4592691 | Journal of Functional Analysis | 2009 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
