collaborators

2 papers

math.CA2026

Sharp decay estimates for -dimensional oscillatory integral operators via Newton height

Shaozhen Xu

We study -dimensional oscillatory integral operators of the form \[ T_λf(x,y)=\int_{\mathbb{R}}e^{iλP(x,y)t^k}ψ(x,y,t)f(t)dt,\qquad k\geq 1, \] where the phase is a r…

math.CA2025

An effective van der Corput-type method in higher dimensions

Shaozhen Xu

Using the birational map between a smooth toric variety (adapted to the phase function of the oscillatory integral) and $\mathbb{R}^n\textbackslash\{0\}$, we can effectively carry…