Geodesic
Sum rules and spectral measures of Schrödinger operators with $L^2$ potentials
Rowan Killip1 ; Barry Simon2
1Mathematics Department<br/>University of California, Los Angeles<br/>Box 951555<br/>Los Angeles, CA 90095-1555<br/>United States
2California Institute of Technology<br/>1200 East California Boulevard<br/>Pasadena, CA 91125<br/>United States
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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     title = {Sum rules and spectral measures of {Schr\"odinger} operators with $L^2$ potentials},
     journal = {Annals of mathematics},
     pages = {739--782},
     year = {2009},
     volume = {170},
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     zbl = {1185.34131},
     language = {en},
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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

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