Reconstruction of Differential Operators with Frozen Argument
AXIOMS(2022)
摘要
We study spectral properties of a wide class of differential operators with frozen arguments by putting them into a general framework of rank-one perturbation theory. In particular, we give a complete characterization of possible eigenvalues for these operators and solve the inverse spectral problem of reconstructing the perturbation from the resulting spectrum. This approach provides a unified treatment of several recent studies and gives a clear explanation and interpretation of the obtained results.
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关键词
differential operators, Sturm-Liouville-type operators, inverse problems, rank-one perturbations, frozen argument
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