Talk:Hamburger moment problem

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I don't think that the second characterisation can be right: consider a distribution whose mean is zero so that .

According to The Moment Problem, which looks authoritative, this characterisation is actually the solution to the Stieltjes moment problem, and the wikipedia article on that is only a stub.

So I propose to move this condition to the Stiltjes problem page.

Meanwhile, again according to The Moment Problem the solution to the Hamburger moment problem is that the sequence μ_n should be positive definite. It is not completely obvious to me that that is equivalent to this characterisation 1, it feels stronger. Can anyone confirm or otherwise?

Kestrelsummer 22:33, 17 January 2007 (UTC)

Retrieved from "http://en.wikipedia.org../../../h/a/m/Talk%7EHamburger_moment_problem_85a3.html"

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