4 problems

Let $\Lambda$ range over periodic configurations of arbitrary fixed density in phase space, and consider the associated quantum packing, covering, and paving problems. The hexagona…

Universal Gaussian Gabor asymptotic conjecture. There exists a constant $C_\Lambda$, depending on the geometry of $\Lambda(1)$, such that

Let $g_0(t)=2^{1/4}e^{-\pi t^2}$ be the standard Gaussian, let $\delta>1$, and define … For each separable lattice in this class, let $A$ and $B$ denote the lower and upper frame b…

Let $g_0(t)=2^{1/4}e^{-\pi t^2}$ be the standard Gaussian, let $\delta>1$, and define … For each $\Lambda$ in this class, let $A$ and $B$ denote the lower and upper frame bounds of…