Editing Moment problem (section)

== Formal solution ==

When the solution exists, it can be formally written using derivatives of the [[Dirac delta function]] as
:<math> d\mu(x) = \rho(x) dx, \quad \rho(x) = \sum_{n=0}^\infty \frac{(-1)^n}{n!}\delta^{(n)}(x)m_n
</math>.
The expression can be derived by taking the inverse Fourier transform of its [[Characteristic function (probability theory)|characteristic function]].