The Marchenko representation of reflectionless Jacobi and Schrodinger   operators
  We consider Jacobi matrices and Schrodinger operators that are reflectionless on an interval. We give a systematic development of a certain parametrization of this class, in terms of suitable spectral data, that is due to Marchenko. Then some applications of these ideas are discussed. 
Injo Hur, Matt McBride, Christian Remling
math.SP