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Correction to: Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions |
Canad. J. Math. 53(2001), 756-757
Published:2001-08-01
Printed: Aug 2001
Printed: Aug 2001
- Richard Froese
Abstract
The proof of Lemma~3.4 in [F] 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 $|V|$.
| MSC Classifications: |
47A10 - Spectrum, resolvent 47A40 - Scattering theory [See also 34L25, 35P25, 37K15, 58J50, 81Uxx] 81U05 - $2$-body potential scattering theory [See also 34E20 for WKB methods] |