Compressed Super-Resolution I: Maximal Rank Sum-of-Squares

Augustin Cosse

Let $\mu (t)={\sum }_{\tau \in S}{\alpha }_{\tau }\delta (t-\tau )$ denote an $|S|$-atomic measure defined on $[0,1]$, satisfying ${\min }_{\tau \ne {\tau }^{\prime }}|\tau -{\tau }^{\prime }|\ge |S|\cdot n^{-1}$. Let $η(θ) = \sum_{τ\in S} a_τD_n(θ-…