INVERSE SPECTRAL PROBLEMS FOR SINGULAR RANK-ONE PERTURBATIONS OF A HILL OPERATOR

DOI10.1017/S1446788709000135zbMath1193.34025OpenAlexW2096611347MaRDI QIDQ5852043

Kazushi Yoshitomi

Publication date: 26 January 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788709000135

zbMATH Keywords

Hill operatorrank one perturbation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Inverse problems involving ordinary differential equations (34A55)

Cites Work

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• A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR
• Stable hill equations
• On the determination of a Hill's equation from its spectrum
• A Krein-like formula for singular perturbations of self-adjoint operators and applications
• Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials

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