7 citations · 29 across the 24 of their papers we have counts for
24 papers
The Steklov Determinant and Compactness of Isospectral Planar Domains
Yujun Jin, Zuoqin Wang
We prove that every Steklov isospectral family of compact smooth planar domains is compact in the topology, answering an open question of Colbois, Girouard, Gordon, and…
Steklov Spectral Uniqueness of Geodesic Balls in 3-Dimensional Space Forms via Guillemin--Wodzicki Residues
Zuoqin Wang, Hanzhang Yun
Let be the Dirichlet-to-Neumann operator on the boundary of a compact three-dimensional Riemannian manifold. Using the Lee--Uhlmann full-symbol formula and Weyl's invariant the…
Steklov Spectral Geometry for Annular Surfaces: Inverse spectral results and isospectral compactness
Yujun Jin, Zuoqin Wang
We study the inverse spectral problems for the Steklov spectrum on compact surfaces with boundary. We prove that among flat annular surfaces, the lateral surface of a conical frust…
Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum
Xiang He, Zuoqin Wang
In this paper we study the problem of prescribing Dirichlet eigenvalues on an arbitrary compact manifold of dimension with a non-empty smooth boundary . W…
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…