Sturm--Liouville operators with singular potentials

DOI10.1007/S10958-007-0268-1zbMath1184.47020OpenAlexW2626573951MaRDI QIDQ1040296

Artem M. Savchuk

Publication date: 24 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0268-1

zbMATH Keywords

maximal operatorself-adjoint extensionsdeficiency indicesuniform resolvent convergence

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05)

Cites Work

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• Perturbations of elliptic operators on high codimension subsets and the extension theory on indefinite metric space
• Schrödinger operator perturbed by operators related to null sets
• Rank one perturbations at infinite coupling
• Rank one perturbations with infinitesimal coupling
• Perturbation theory for a Sturm-Liouville problem with an interior singularity
• On the Coulomb potential in one dimension
• On the Lee model
• Perturbations of self-adjoint operators by singular bilinear forms

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