4 papers
Refined restriction estimate for eigenfunctions on Riemannian surfaces
Chuanwei Gao, Changxing Miao, Yakun Xi
We refine the restriction estimates for Laplace eigenfunctions on a Riemannian surface, originally established by Burq, Gérard, and Tzvetkov. First, we establish estimates f…
Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces
Zhenbin Cao, Changxing Miao, Yixuan Pang
The Fourier restriction conjecture is a fundamental problem in harmonic analysis. In this paper, we investigate restriction estimates for degenerate higher codimensional quadratic…
Weighted restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions
Zhenbin Cao, Jingyue Li, Changxing Miao +1
We systematically study weighted restriction for quadratic manifolds of arbitrary codimensions by sharp uniform Fourier decay estimates and a refinement of the Du-Zhang metho…
Hörmander oscillatory integral operators: a revisit
Chuanwei Gao, Zhong Gao, Changxing Miao
In this paper, we present new proofs for both the sharp estimate and the decoupling theorem for the Hörmander oscillatory integral operator. The sharp estimate was pre…