Mathematical Research Letters

Volume 12, Issue 6, November 2005 pp. 821-826.

The Resonance Counting Function for Schrödinger Operators with Generic Potentials

Authors: T. Christiansen (1) and P. D. Hislop (2)
Author institution: University of Missouri (1) and University of Kentucky (2)

Summary: We show that the resonance counting function for a Schr\"odinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, $L^\infty$-compactly supported potentials.

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