Second-order differential operators in the limit circle case

DOI10.3842/SIGMA.2021.077zbMath1491.47035arXiv2105.08641MaRDI QIDQ2240508

Dimitri Yafaev

Publication date: 4 November 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08641

zbMATH Keywords

second-order differential equationsresolventsself-adjoint extensionsminimal and maximal differential operatorsquasiresolvents

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General theory of ordinary differential operators (47E05) Difference operators (39A70) Linear difference operators (47B39) Scattering theory of linear operators (47A40)

Cites Work

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• The classical moment problem as a self-adjoint finite difference operator
• Semiclassical asymptotic behavior of orthogonal polynomials
• Analytic Scattering Theory for Jacobi Operators and Bernstein–Szegö Asymptotics of Orthogonal Polynomials

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