Xuehua Chen

most citedOn integrals of eigenfunctions over geodesics

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2013★ 3 cited

On integrals of eigenfunctions over geodesics

Xuehua Chen, Christopher D. Sogge

If $(M, g)$ is a compact Riemannian surface then the integrals of $L^{2} (M)$ -normalized eigenfunctions $e_{j}$ over geodesic segments of fixed length are uniformly bounded. Also, if $(M…

math.AP2012★ 1 cited

A few endpoint geodesic restriction estimates for eigenfunctions

Xuehua Chen, Christopher D. Sogge

We prove a couple of new endpoint geodesic restriction estimates for eigenfunctions. In the case of general 3-dimensional compact manifolds, after a $T T^{*}$ argument, simply by usin…

math.AP2012★ 1 cited

An improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature

Xuehua Chen

Let $(M, g)$ be an $n$ -dimensional compact boudaryless Riemannian manifold with nonpositive sectional curvature, then our conclusion is that we can give improved estimates for the $…