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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.AP2010
Spectral uniqueness of radial semiclassical Schrodinger operators
Kiril Datchev, Hamid Hezari, Ivan Ventura
We prove that the spectrum of an n-dimensional semiclassical radial Schrödinger operator determines the potential within a large class of potentials for which we assume no symmetry…