Український математичний конгрес  2009
Oktay Alish Veliev (Dogus University, Istanbul, Turkey) On the Inverse Spectral Problem for the Threedimensional 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 threedimensional Schrцdinger operator from the spectral invariants. As a result, we determine constructively the potential from the given Bloch eigenvalues.
