R. del Rio, F. Gesztesy, and B. Simon
Inverse spectral analysis with partial information on the potential, III.
Updating boundary conditions
(19K, amstex)

ABSTRACT.  We discuss results where information on parts of the discrete spectra of
one-dimensional Schr\"odinger operators H=-\frac{d^2}{dx^2}+q in L^2((0,1))
or of a finite Jacobi matrix together with partial information on q uniquely
determines q a.e. on [0,1].
These extend classical results of Borg and Hochstadt-Lieberman as well as
results in paper II of this series.