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Published 2009 | Version Published
Journal Article Open

Sum rules and spectral measures of Schrödinger operators with L^2 potentials

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Abstract

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.

Additional Information

© Copyright 2009 Annals of Mathematics. Received July 11, 2005. Killip was supported in part by NSF grant DMS-0401277 and a Sloan Foundation Fellowship. Simon was supported in part by NSF grant DMS-0140592 and in part by Grant No. 2002068 from the United States-Israel Science Foundation, Jerusalem, Israel.

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Published - Killip2009p6534Ann_Math.pdf

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Identifiers

Eprint ID
17120
Resolver ID
CaltechAUTHORS:20100108-193514874

Related works

Describes
http://arxiv.org/abs/math/0608767 (URL)
http://www.jstor.org/stable/25662158 (URL)

Funding

NSF
DMS-0401277
Alfred P. Sloan Foundation
NSF
DMS-0140592
Binational Science Foundation (USA-Israel)
2002068

Dates

Created
2010-01-12
Created from EPrint's datestamp field
Updated
2023-06-02
Created from EPrint's last_modified field

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Caltech groups
Mathematics Department , Physics Department