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math.SP2002★ 1 cited
Quantum ergodicity of boundary values of eigenfunctions
Andrew Hassell, Steve Zelditch
Suppose that Omega is a bounded, piecewise smooth Euclidean domain. We prove that the boundary values (Cauchy data) of eigenfunctions of the Laplacian on Omega with various boundar…
math.AP2002★ 1 cited
Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
Andrew Hassell, Terence Tao
Suppose that is a compact Riemannian manifold with boundary and is an -normalized Dirichlet eigenfunction with eigenvalue . Let be its normal derivative at the…