Inverse spectral problems and closed exponential systems. (English) Zbl 1102.34005

Horváth, Miklós

Ann. Math. (2) 162, No. 2, 885-918 (2005).

The author provides conditions under which the specification of the eigenvalues of the Sturm-Liouville operator \(Ly:=-y''+q(x)y,\;0<x<\pi,\) with separated boundary conditions, and the knowledge \(q\) for \(x\in (0,a),\, 0\leq a<\pi,\) uniquely determines \(q\) for \(x\in (a,\pi).\)

Reviewer: Vjacheslav Yurko (Saratov)

MSC:

34A55	Inverse problems involving ordinary differential equations
34B24	Sturm-Liouville theory
47E05	General theory of ordinary differential operators

Keywords:

Sturm-Liouville differential operators; inverse spectral problem; uniqueness result