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Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions

Published online by Cambridge University Press:  20 November 2018

Richard Froese
Richard Froese*
Affiliation:
Department of Mathematics University of British Columbia Vancouver, BC V6T 1Z2
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Abstract

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The purpose of this note is to provide a simple proof of the sharp polynomial upper bound for the resonance counting function of a Schrödinger operator in odd dimensions. At the same time we generalize the result to the class of superexponentially decreasing potentials.

Keywords

47A1047A4081U05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 3 , 01 June 1998 , pp. 538 - 546
Copyright
Copyright © Canadian Mathematical Society 1998

References

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