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

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Trace formulae and inverse spectral theory for Schrödinger operators

Authors: F. Gesztesy, H. Holden, B. Simon and Z. Zhao
Journal: Bull. Amer. Math. Soc. 29 (1993), 250-255
MSC (2000): Primary 34L40; Secondary 34A55, 34B24, 47E05
MathSciNet review: 1215308
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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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