152 citations · 375 across the 47 of their papers we have counts for
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Inverse spectral results for non-abelian group actions
Victor Guillemin, Zuoqin Wang
In this paper we will extend to non-abelian groups inverse spectral results, proved by us in an earlier paper, for compact abelian groups, i.e. tori. More precisely, Let $\mathsf G…
Spectral properties of semi-classical Toeplitz operators
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
The main results of this paper are an asymptotic expansion in powers of for the spectral measure of a semi-classical Toeplitz operator, , and an equivari…
The Generalized Legendre transform and its applications to inverse spectral problems
Victor Guillemin, Zuoqin Wang
Let be a Riemannian manifold, an isometric action on of an -torus and a bounded -invariant smooth function. By -inva…
Semi-classical weights and equivariant spectral theory
Emily B. Dryden, Victor Guillemin, Rosa Sena-Dias
We prove inverse spectral results for differential operators on manifolds and orbifolds invariant under a torus action. These inverse spectral results involve the asymptotic equiva…
Canonical forms for perturbations of the harmonic oscillator
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
We consider a class of perturbations of the 2D harmonic oscillator, and of some other dynamical systems, which we show are isomorphic to a function of a toric system (a Birkhoff ca…
A Fulling-Kuchment theorem for the 1D harmonic oscillator
Victor Guillemin, Hamid Hezari
We prove that there exists a pair of "non-isospectral" 1D semiclassical Schrödinger operators whose spectra agree modulo h^\infty. In particular, all their semiclassical trace inva…