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math.AP2020
Fourier coefficients of restrictions of eigenfunctions
Emmett L. Wyman, Yakun Xi, Steve Zelditch
Let be an orthonormal basis of Laplace eigenfunctions of a compact Riemannian manifold . Let be a submanifold and let be an orthonormal bas…
math.AP2020★ 1 cited
Square function estimates and Local smoothing for Fourier Integral Operators
Chuanwei Gao, Bochen Liu, Changxing Miao +1
We prove a variable coefficient version of the square function estimate of Guth--Wang--Zhang. By a classical argument of Mockenhaupt--Seeger--Sogge, it implies the full range of sh…