21 citations · 130 across the 23 of their papers we have counts for
Showing 2011 · math.APShow all
3 papers · 2 filters
math.AP2011
Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch
Hamid Hezari, Zuoqin Wang
We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume of the nodal sets of eigenfunctions. Our result improves the recent results of Sogge-Zelditch and in d…
math.AP2011
A natural lower bound for the size of nodal sets
Hamid Hezari, Christopher D. Sogge
We prove a natural inequality which implies the known lower bounds for the -dimensional Hausdorff measure of nodal sets for smooth compact manifolds.
math.AP2011★ 5 cited
Resonant uniqueness of radial semiclassical Schrodinger operators
Kiril Datchev, Hamid Hezari
We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical S…