Trace formulae and inverse spectral theory for Schr\"odinger operators
classification
🧮 math.SP
keywords
inverseodingeroperatorsschrtraceabsolutelycontinuousequation
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We extend the well-known trace formula for Hill's equation to general one-dimensional Schr\"odinger operators. The new function $\xi$, which we introduce, is used to study absolutely continuous spectrum and inverse problems.
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