Inverse Spectral Analysis with Partial Information on the Potential Locally Smooth at Right Endpoint
摘要
The del Rio–Gesztesy–Simon’s theorem (Int Math Res Notices 15:751–758, 1997) states that, under certain conditions, two partially known spectra and partial information about the potential uniquely determine the potential. We generalize the above result to the case where the potential function is locally smooth at the right endpoint.