211 citations · 1.3k across the 126 of their papers we have counts for
35 papers · 1 filter
Heat and Wave kernel expansions for stationary spacetimes
Alexander Strohmaier, Steve Zelditch
The generator of time-translations on the solution space of the wave equation on stationary spacetimes specialises to the square root of the Laplacian on Riemannian manifolds when…
-nodal domain theorems for higher dimensional circle bundles
Junehyuk Jung, Steve Zelditch
We prove that the real parts of equivariant (but non-invariant) eigenfunctions of generic bundle metrics on nontrivial principal bundles over manifolds of any dimension have…
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…
Interfaces in spectral asymptotics and nodal sets
Steve Zelditch
This is largely a survey of results obtained jointly with Boris Hanin and Peng Zhou on interfaces in spectral asymptotics, both for Schrödinger operators on an…
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…
Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza-Klein -folds
Junehyuk Jung, Steve Zelditch
This article concerns the number of nodal domains of eigenfunctions of the Laplacian on special Riemannian -manifolds, namely nontrivial principal bundles over R…