Hamburger moment problem

ID: hamburger-moment-problem

The Hamburger moment problem is a classical problem in the theory of moments and can be described as follows: Given a sequence of real numbers \( m_n \) (where \( n = 0, 1, 2, \ldots \)), called moments, the Hamburger moment problem asks whether there exists a probability measure \( \mu \) on the real line \( \mathbb{R} \) such that the moments of this measure match the given sequence.

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