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

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.

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      JOURNAL = {J. Funct. Anal.},
      FJOURNAL = {Journal of Functional Analysis},
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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