Inverse vector-valued Sturm-Liouville problem. I. Uniqueness theorem

2013/12/12 by Chelkak, Dmitry, Matveenko, Sergey · 1 citation
Mathematics · #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1312.3621

openalex publication_date 2013/12/12 · openalex created_date 2016/09/23 · openalex updated_date 2026/07/28

Abstract

This paper starts a series devoted to the vector-valued Sturm-Liouville problem -ψ''+V(x)ψ=λψ, ψ∈ L²([0,1];ℂ^N), with separated boundary conditions. The overall goal of the series is to give a complete characterization of classes of spectral data corresponding to potentials V=V^*∈ L^p([0,1];ℂ^{N× N}) for a fixed 1≤ p

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