Trace formulae and inverse spectral theory for Schrödinger operators

Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z.

doi:10.1090/S0273-0979-1993-00431-2

Trace formulae and inverse spectral theory for Schrödinger operators
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by F. Gesztesy, H. Holden, B. Simon and Z. Zhao PDF

Bull. Amer. Math. Soc. 29 (1993), 250-255 Request permission

Abstract:

We extend the well-known trace formula for Hill’s equation to general one-dimensional Schrödinger operators. The new function $\xi$, which we introduce, is used to study absolutely continuous spectrum and inverse problems.

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