Sum rules and spectral measures of Schrödinger operators with<i>L</i><sup>2</sup>potentials

Rowan Killip, Barry Simon

Type: Article

Publication Date: 2009-09-01

Citations: 44

DOI: https://doi.org/10.4007/annals.2009.170.739

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.

Locations

arXiv (Cornell University) - View - PDF
Annals of Mathematics - View - PDF

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+	Hilbert spaces of entire functions	1968	Louis de Branges
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+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin
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+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan
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