152 citations · 375 across the 47 of their papers we have counts for
52 papers
Integral representations of isotropic semi-classical functions and applications
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
In \cite{GUW} we introduced a class of "semi-classical functions of isotropic type", starting with a model case and applying Fourier integral operators associated with canonical tr…
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…
Convexity of the moment map image for torus actions on -symplectic manifolds
Victor Guillemin, Eva Miranda, Jonathan Weitsman
We prove a convexity theorem for the image of the moment map of a Hamiltonian torus action on a -symplectic manifold.
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…
Desingularizing -symplectic structures
Victor Guillemin, Eva Miranda, Jonathan Weitsman
A -dimensional Poisson manifold is said to be -symplectic if it is symplectic on the complement of a hypersurface and has a simple Darboux canonical form at p…
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…