Weiqi Zhou

collaborators

2 papers

math.CA2026

Frame Sets and Zeros of Zak transforms of Extended Gaussians

Wenchang Sun, Weiqi Zhou

Let $a, b, c \in C$ with $\re(a)<0$, we show that the extended Gaussian $e^{a x^{2} + b x + c}$ has maximal frame set (i.e., its frame set consists of precisely all positive pairs $(α,…

math.CA2025

Spectrality of Prime Size Tiles

Weiqi Zhou

We prove that if a tile in $Z^{d}$ has prime size $p$ , then it must be spectral. The proof is by contradiction, it is simply shown that the tiling complement of such a tile c…