211 citations · 1.3k across the 126 of their papers we have counts for
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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.SP2002★ 43 cited
L^p norms of eigenfunctions in the completely integrable case
John A. Toth, Steve Zelditch
The eigenfunctions e^{i λx} of the Laplacian on a flat torus have uniformly bounded L^p norms. In this article, we prove that for every other quantum integrable Laplacian, the L^p…
math.SP2002★ 5 cited
The inverse resonance problem for -symmetric analytic obstacles in the plane
Steve Zelditch
We prove that a two-component mirror-symmetric analytic obstacle in the plane is determined by its resonance poles among such obstacles. The proof is essentially the same as in the…