27 citations · 211 across the 28 of their papers we have counts for
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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…
math.AP2010
Propagation through trapped sets and semiclassical resolvent estimates
Kiril Datchev, András Vasy
Motivated by the study of resolvent estimates in the presence of trapping, we prove a semiclassical propagation theorem in a neighborhood of a compact invariant subset of the bicha…
math.AP2010★ 27 cited
Gluing semiclassical resolvent estimates via propagation of singularities
Kiril Datchev, András Vasy
We use semiclassical propagation of singularities to give a general method for gluing together resolvent estimates. As an application we prove estimates for the analytic continuati…