Rapidly converging approximation in inverse quantum scattering in dimension 2

@inproceedings{Novikov1998RapidlyCA,
  title={Rapidly converging approximation in inverse quantum scattering in dimension 2},
  author={Roman Novikov},
  year={1998}
}
Abstract For the two-dimensional Schrodinger equation with a potential from the class W ϵ N,l ( R 2 ), N ∈ N ≥ 3, ϵ > 0 ( N -times smooth potential) we show that the scattering amplitude at fixed energy E determines the potential constructively and stably (by an explicit polynomial formula of degree N ) up to O(E −(N−2) 2 ) in the uniform norm as E → + ∞.