211 citations · 1.3k across the 126 of their papers we have counts for
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Schrödinger Trace Invariants for Homogeneous Perturbations of the Harmonic Oscillator
Moritz Doll, Steve Zelditch
Let denote the harmonic oscillator on perturbed by an isotropic pseudodifferential operator of order and let $U(t) = \operatorname{exp}(- it H)…
Local and global analysis of nodal sets
Steve Zelditch
This is a survey for the JDG 50th Anniversary conference of recent results on nodal sets of eigenfunctions of the Laplacian on a compact Riemannian manifold. In part the techniques…
A Gutzwiller trace formula for stationary space-times
Alexander Strohmaier, Steve Zelditch
We give a relativistic generalization of the Gutzwiller-Duistermaat-Guillemin trace formula for the wave group of a compact Riemannian manifold to globally hyperbolic stationary sp…
Log-scale equidistribution of nodal sets in Grauert tubes
Robert Chang, Steve Zelditch
Let be the Grauert tube (of some fixed radius ) of a compact, negatively curved, real analytic Riemannian manifold without boundary. Let be a Laplacian eig…