Direct and inverse spectral problems for rank-one perturbations of\n self-adjoint operators

2020/07/17 by Oles Dobosevych, Dobosevych, Oles, Rostyslav Hryniv +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #Numerical methods in inverse problems #Operators #Quantum optics and atomic interactions #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #eigenvalue asymptotics #non-simple eigenvalues #rank-one perturbations

paper · pdf · doi:10.48550/arxiv.2007.08841

openalex publication_date 2020/07/17 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

For a given self-adjoint operator A with discrete spectrum, we completely\ncharacterize possible eigenvalues of its rank-one perturbations~B and discuss\nthe inverse problem of reconstructing B from its spectrum.\n

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