Direct and Inverse Spectral Problems for Rank-One Perturbations of Self-adjoint Operators

INTEGRAL EQUATIONS AND OPERATOR THEORY（2021）

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摘要

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

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关键词

Operators, Rank-one perturbations, Non-simple eigenvalues, Eigenvalue asymptotics

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