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

Pages 739-782 from Volume 170 (2009), Issue 2 by Rowan Killip, Barry Simon

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.

Mathematical Subject Classification

Primary 2000: ,

DOI
https://doi.org/10.4007/annals.2009.170.739
MR
2552106
zbMATH
1185.34131
Milestones
Received: 11 July 2005

Authors

Rowan Killip

Mathematics Department
University of California, Los Angeles
Box 951555
Los Angeles, CA 90095-1555
United States

Barry Simon

California Institute of Technology
1200 East California Boulevard
Pasadena, CA 91125
United States