04-13 O. Safronov
One consequence of the results of Laptev-Naboko-Safronov [11] (218K, Postscript) Jan 20, 04
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Abstract. The main goal of the paper is to illustrate the significance of the work Laptev-Naboko-Safronov [11]. We consider the Schr\"odinger operator $-\Delta+V$ for $d\geq 3$. We prove that the a.c. spectrum is essentially supported by $(-\infty,\infty)$ under assumption that $V\in L^{d+1}$ and the Fourier transform $\hat{V}$ is square integrable near the origin.

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