Luis O. Silva and Ricardo Weder
On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices
(81K, LaTex)

ABSTRACT.   We present results on the unique reconstruction of a 
 semi-infinite Jacobi operator from the spectra of the 
 operator with two different boundary conditions. This is 
 the discrete analogue of the Borg-Marchenko theorem for 
 Schr{\"o}dinger operators in the half-line. Furthermore, we 
 give necessary and sufficient conditions for two real 
 sequences to be the spectra of a Jacobi operator with 
 different boundary conditions.