Timeline for Laplace Transform: Are there theorems similar to the Bernstein Theorem?
Current License: CC BY-SA 3.0
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Dec 1, 2011 at 17:49 | comment | added | florian | You are right of course. Sorry for this impreciseness. My question, however, remains the same. | |
Dec 1, 2011 at 16:24 | comment | added | Mark Meckes | Actually, Bernstein's theorem says that such a function is the Laplace transform of a finite measure on $(0,\infty)$, not necessarily of a function. For example, $f(x) = e^{-x}$ is the Laplace transform of a point mass. | |
Dec 1, 2011 at 15:57 | history | asked | florian | CC BY-SA 3.0 |