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Correction to: Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions
Published online by Cambridge University Press: 20 November 2018
Abstract
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 $\left| V \right|$.
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- Copyright © Canadian Mathematical Society 2001
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