Reconstruction of a potential from the impedance boundary map

@article{Isaev2012ReconstructionOA,
  title={Reconstruction of a potential from the impedance boundary map},
  author={Mikhail Isaev and Roman G. Novikov},
  journal={arXiv: Analysis of PDEs},
  year={2012}
}
We give formulas and equations for finding generalized scattering data for the Schr\"odinger equation in open bounded domain at fixed energy from the impedance boundary map (or Robin-to-Robin map). Combining these results with results of the inverse scattering theory we obtain efficient methods for reconstructing potential from the impedance boundary map. 
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