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Correction to: Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions
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- Journal:
- Canadian Journal of Mathematics / Volume 53 / Issue 4 / 01 August 2001
- Published online by Cambridge University Press:
- 20 November 2018, pp. 756-757
- Print publication:
- 01 August 2001
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The proof of Lemma 3.4 in
$\left[ \text{F} \right]$ relies on the incorrect equality
${{\mu }_{j}}(AB)={{\mu }_{j}}(BA)$
for singular values (for a counterexample, see [S, p. 4]). Thus, Theorem 3.1 as stated has not been proven. However, with minor changes, we can obtain a bound for the counting function in terms of the growth of the Fourier transform of 
$\left| V \right|$.
Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions
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- Journal:
- Canadian Journal of Mathematics / Volume 50 / Issue 3 / 01 June 1998
- Published online by Cambridge University Press:
- 20 November 2018, pp. 538-546
- Print publication:
- 01 June 1998
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