On the Inverse Spectral Problem for the Three-dimensional Schrodinger Operator with a Periodic Potential

We constructively determine a family of spectral invariants for the multidimensional Schrodinger operator with a smooth periodic potential by the given Bloch eigenvalues. Then we give an algorithm for the unique (modulo some translations) determination of the periodic potential of the three-dimensional Schrцdinger operator from the spectral invariants. As a result, we determine constructively the potential from the given Bloch eigenvalues.