57 citations · 222 across the 49 of their papers we have counts for
4 papers · 1 filter
Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three
Peter D. Hislop, Robert Wolf
We prove compactness of a restricted set of real-valued, compactly supported potentials for which the corresponding Schrödinger operators have the same resonances, includ…
The multiplicity of eigenvalues of the Hodge Laplacian on 5-dimensional compact manifolds
Megan E. Gier, Peter D. Hislop
We study multiplicity of the eigenvalues of the Hodge Laplacian on smooth, compact Riemannian manifolds of dimension five for generic families of metrics. We prove that generically…
Band functions in the presence of magnetic steps
Peter D. Hislop, Nicolas Popoff, Nicolas Raymond +1
We complete the analysis of the band functions for two-dimensional magnetic Schrödinger operators with piecewise constant magnetic fields. The discontinuity of the magnetic field c…
Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth
D. Borthwick, T. J. Christiansen, P. D. Hislop +1
Suppose that is a conformally compact -dimensional manifold that is hyperbolic at infinity in the sense that outside of a compact set the sectional cu…