Correction to: Upper Bounds for the Resonance Counting Function of Schrödinger Operators in Odd Dimensions
Richard Froese · Canadian Journal of Mathematics · 2001
Abstract The proof of Lemma 3.4 in [F] relies on the incorrect equality μj(AB) = μj(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|.