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


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.


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