Sum rules and spectral measures of Schrödinger operators with $L^2$ potentials
Annals of mathematics, Tome 170 (2009) no. 2, pp. 739-782.

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Necessary and sufficient conditions are presented for a positive measure to be the spectral measure of a half-line Schrödinger operator with square integrable potential.
DOI : 10.4007/annals.2009.170.739

Rowan Killip 1 ; Barry Simon 2

1 Mathematics Department<br/>University of California, Los Angeles<br/>Box 951555<br/>Los Angeles, CA 90095-1555<br/>United States
2 California Institute of Technology<br/>1200 East California Boulevard<br/>Pasadena, CA 91125<br/>United States
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Rowan Killip; Barry Simon. Sum rules and spectral measures of Schrödinger operators with $L^2$ potentials. Annals of mathematics, Tome 170 (2009) no. 2, pp. 739-782. doi : 10.4007/annals.2009.170.739. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.739/

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