21 citations · 130 across the 23 of their papers we have counts for
28 papers
Upper bounds on the size of nodal sets for Gevrey and quasianalytic Riemannian manifolds
Hamid Hezari
We find new polynomial upper bounds for the size of nodal sets of eigenfunctions when the Riemannian manifold has a Gevrey or quasianalytic regularity.
Centrally symmetric analytic plane domains are spectrally determined in this class
Hamid Hezari, Steve Zelditch
We prove that, under some generic non-degeneracy assumptions, real analytic, centrally symmetric plane domains are determined by their Dirichlet (resp. Neumann) spectra. We prove t…
The Dirichlet isospectral problem for trapezoids
Hamid Hezari, Zhiqin Lu, Julie Rowlett
We show that non-obtuse trapezoids are uniquely determined by their Dirichlet Laplace spectrum. This extends our previous result, which was only concerned with the Neumann Laplace…
Eigenfunction asymptotics and spectral Rigidity of the ellipse
Hamid Hezari, Steve Zelditch
This paper is part of a series concerning the isospectral problem for an ellipse. In this paper, we study Cauchy data of eigenfunctions of the ellipse with Dirichlet or Neumann bou…
On a property of Bergman kernels when the Kähler potential is analytic
Hamid Hezari, Hang Xu
We provide a simple proof of a result of Rouby-Sjöstrand-Ngoc \cite{RSN} and Deleporte \cite{Deleporte}, which asserts that if the Kähler potential is real analytic then the Bergma…
One can hear the shape of ellipses of small eccentricity
Hamid Hezari, Steve Zelditch
We show that if the eccentricity of an ellipse is sufficiently small then up to isometries it is spectrally unique among all smooth domains. We do not assume any symmetry, convexit…