On algebraic properties of low rank approximations of Prony systems

Gil Goldman, Yosef Yomdin

We consider the reconstruction of spike train signals of the form $$F(x)=\sum _{i=1}^d{a}_i\delta (x-x_i),$$ from their moments measurements $m_k(F)=\int x^k F(x) dx = \sum_{i=1}^d a_ix…