On the Ambarzumyan's theorem for the Quasi-periodic Problem

2015/03/06 by Kıraç, Alp Arslan
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1503.01869

Abstract

We obtain the classical Ambarzumyan's theorem for the Sturm-Liouville operators L_t(q) with q∈ L¹[0,1] and quasi-periodic boundary conditions, t∈ [0,2π), when there is not any additional condition on the potential q.

Related

• A new Improvement of Ambarzumyan's Theorem
• Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses
• A further note on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian
• Ambarzumyan-type theorem for the Sturm-Liouville operator on the lasso graph
• A Mathematical Aspect of Bloch's Theorem