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# Upper bounds for the resonance counting function of Schrödinger operators in odd dimensions

Published:1998-06-01
Printed: Jun 1998
• Richard Froese
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## Abstract

The purpose of this note is to provide a simple proof of the sharp polynomial upper bound for the resonance counting function of a Schr\"odinger operator in odd dimensions. At the same time we generalize the result to the class of super-exponentially decreasing potentials.
 MSC Classifications: 47A10 - Spectrum, resolvent 47A40 - Scattering theory [See also 34L25, 35P25, 37K15, 58J50, 81Uxx] 81U05 - $2$-body potential scattering theory [See also 34E20 for WKB methods]