We prove that in multidimensional potential scattering some familiar methods of reconstructing unknown potential are valid also for the potentials from the Kato space. We also show a new method for recovering such potentials. The proof is based on the new estimates for Schrödinger operator for the continuous spectrum. These estimates allow us for the cases n = 2 and n = 3 to consider the potentials with stronger singularities than in previous publications.
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