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math.AP2021★ 6 cited
Improved local smoothing estimate for the wave equation in higher dimensions
Chuanwei Gao, Bochen Liu, Changxing Miao +1
In this paper, we establish the sharp -broad estimate for a class of phase functions satisfying the homogeneous convex conditions. As an application, we obtain improved local sm…
math.AP2021★ 1 cited
Geodesic bi-angles and Fourier coefficients of restrictions of eigenfunctions
Emmett Wyman, Yakun Xi, Steve Zelditch
This article concerns joint asymptotics of Fourier coefficients of restrictions of Laplace eigenfunctions of a compact Riemannian manifold to a submanifold . We…