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Resolvent formulas of general type and its application to point interactions

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Publication:1602292
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DOI10.1007/PL00001381zbMath1006.47016OpenAlexW1965557409MaRDI QIDQ1602292

S. T. Kuroda, Hiroshi Nagatani

Publication date: 27 February 2003

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001381


zbMATH Keywords

point interactionsingular interactionclosed operatorsresolvent formularank one singular perturbations


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)


Related Items (6)

Spectral gaps of the Schrödinger operators with periodic δ′-interactions and Diophantine approximations ⋮ Dynamics on a Graph as the Limit of the Dynamics on a “Fat Graph” ⋮ On the perturbation theory of self-adjoint operators ⋮ On the embedded eigenvalues for the self-adjoint operators with singular perturbations. ⋮ The closed extensions of a closed operator ⋮ INVERSE SPECTRAL PROBLEMS FOR SINGULAR RANK-ONE PERTURBATIONS OF A HILL OPERATOR







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