F. Gesztesy et al., TRACE FORMULAS AND INVERSE SPECTRAL THEORY FOR SCHRODINGER-OPERATORS, Bulletin, new series, of the American Mathematical Society, 29(2), 1993, pp. 250-255
We extend the well-known trace formula for Hill's equation to general
one-dimensional Schrodinger operators. The new function xi, which we i
ntroduce, is used to study absolutely continuous spectrum and inverse
problems.