Direct and inverse spectral problems for the Schrödinger operator with double generalized Regge boundary conditions

Abstract

In this paper, we study the direct and inverse spectral problems for the Schrödinger operator with two generalized Regge boundary conditions. For the direct problem, we give the properties of the spectrum, including the asymptotic distribution of the eigenvalues. For the inverse problems, we prove several uniqueness theorems, including the cases: even potential, two-spectra, as well as the general partial inverse problem.