Cheng Zhang

activity

20142026

most citedImproved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature

12 citations · 63 across the 29 of their papers we have counts for

collaborators

Showing 2026Show all

5 papers · 1 filter

math.CA2026

Eigenvalues and eigenfunctions of the fractional Laplacian on the interval

Cheng Zhang

We prove a three-term asymptotic formula for the eigenvalues of the fractional Laplacian on the bounded interval $(- 1, 1)$ . This improves the eigenvalue asymptotics of Kulczycki--Kw…

math.AP2026

Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters

Shengwen Gan, Cheng Zhang, Zhifei Zhu

We prove sharp $k$ -linear $L^{p}$ estimates for Carleson--Sjölin oscillatory integral operators with arbitrary separated frequency scales for all $k \geq 2$ and $1 \leq p \leq \infty$ . The…

math.AP2026

Restriction estimates for toral eigenfunctions and lattice points in spherical regions

Cheng Zhang, Zhifei Zhu

We establish new $L^{2}$ restriction estimates for toral eigenfunctions. These estimates are sharp in certain cases, and thus prove a conjecture of Huang-Zhang for smooth submanifold…

math.AG2026

A numerical generalized canonical bundle formula

Cheng Zhang

We establish the generalized canonical bundle formula in the numerical setting.

math.CA2026

Maximal growth of the Stein-Wainger oscillatory integral

Cheng Zhang, Zhifei Zhu

We determine the optimal growth of the Stein--Wainger oscillatory integral for every Denjoy--Carleman class defined by a positive log-convex sequence. Quasianalyticity is equivalen…