4 problems

Sparsity-difficulty conjecture. Sparsity is harder to obtain in superresolution partially because the right-hand sides already have many nonzeros and partially because small patche…

Let $T$ be a set of $n+1$ integers, and let $G$ be the Gram matrix associated with the corresponding restricted Fourier matrix on the bandwidth interval $[-\pi y,\pi y]$. Write the…

Minimax constant conjecture. The constants $C_{1,k}$ and $C_{2,k}$ do not depend on $k$. If true, this would make the constants in the minimax superresolution scaling uniform over…

Lower restricted isometry conjecture. The restriction to small $y$ is not needed for these bounds to hold. This would extend the quantitative control of the lower restricted isomet…