Geodesic
Correction to: Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions
Canadian journal of mathematics, Tome 53 (2001) no. 4, pp. 756-757

Voir la notice de l'article provenant de la source Cambridge University Press

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 $\left| V \right|$ .
DOI : 10.4153/CJM-2001-030-2
Mots-clés : 47A10, 47A40, 81U05 
Froese, Richard. Correction to: Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions. Canadian journal of mathematics, Tome 53 (2001) no. 4, pp. 756-757. doi: 10.4153/CJM-2001-030-2
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[F] Froese, Richard, Upper bounds for the resonance counting function of Schrödinger operators in odd dimensions. Canad. J. Math. 50(1998), 538–546. Google Scholar

[S] Simon, Barry, Trace Ideals and their Applications. London Math. Soc. Lecture Note Ser. , Cambridge University Press, Cambridge, 1979. Google Scholar

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