On two-spectra inverse problems

Namig Guliyev (1)

1 Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

We consider a two-spectra inverse problem for the one-dimensional Schrödinger equation with boundary conditions containing rational Herglotz–Nevanlinna functions of the eigenvalue parameter and provide a complete solution of this problem.

Mots clés: boundary conditions dependent on the eigenvalue parameter; one-dimensional Schrödinger equation; two-spectra inverse problem

Domaines: Théorie spectrale [math.SP]; Physique mathématique [math-ph]; Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]

Namig Guliyev. On two-spectra inverse problems. Proceedings of the American Mathematical Society, 2020, 148 (10), pp.4491-4502. ⟨10.1090/proc/15155⟩. ⟨hal-01726268⟩