Xing Wang

collaborators

2 papers

math.AP2025

Sharp spectral-cluster restriction bounds for orthonormal systems

Changbiao Jian, Xing Wang, Yakun Xi

Let $Σ$ be a smooth submanifold of a compact Riemannian manifold $M$ . We study the restriction to $Σ$ of densities generated by $L^{2} (M)$ -orthonormal systems of eigenfunctions whose…

math.AP2024

Hearing the shape of a drum by knocking around

Xing Wang, Emmett L. Wyman, Yakun Xi

We study a variation of Kac's question, "Can one hear the shape of a drum?" if we allow ourselves access to some additional information. In particular, we allow ourselves to ``hear…