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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

Information

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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