97-328 R. del Rio, F. Gesztesy, and B. Simon
Inverse spectral analysis with partial information on the potential, III. Updating boundary conditions (19K, amstex) Jun 15, 97
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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.

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