Several complex variables and the distribution of resonances in potential scattering
T. Christiansen
Abstract
We study resonances associated to Schrödinger operators with compactly supported potentials on Rd, d≥3, odd. We consider compactly supported potentials depending holomorphically on a complex parameter z. For certain such families, for all z except those in a pluripolar set, the associated resonance-counting function has order of growth d. Our proofs use some results from several complex variables.
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