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

Published 17 Jul 2020 in math.SP | (2007.08841v1)

Abstract: For a given self-adjoint operator $A$ with discrete spectrum, we completely characterize possible eigenvalues of its rank-one perturbations~$B$ and discuss the inverse problem of reconstructing $B$ from its spectrum.

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