The inverse spectral theory of one-dimensional Schrödinger operators with the potentials locally smooth

Key Points

• Knowledge of finitely many spectra can fully determine the potential function under specific conditions.
• The potential function's smoothness at the right endpoint is critical for the inverse spectral theory's applicability.
• This generalization expands upon previous work by extending the conditions under which the theory holds.
• The findings may lead to new insights in the study of spectral problems related to Schrödinger operators.