Perspectives on general left-definite theory
DOI10.1007/978-3-030-75425-9_6zbMath1496.47040arXiv2012.01014OpenAlexW3108169956MaRDI QIDQ2066109
Publication date: 13 January 2022
Full work available at URL: https://arxiv.org/abs/2012.01014
spectral theorySturm-Liouville operatorsself-adjoint extensionsfinite rank perturbationsleft-definite theoryBirman-Krein-Vishik theory
Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear symmetric and selfadjoint operators (unbounded) (47B25) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Lists of open problems (00A27)
Uses Software
Cites Work
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- \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula
- The Friedrichs extension of singular differential operators
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- Spectral analysis, model theory and applications of finite-rank perturbations
- Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
- Maximal sectorial extensions and closed forms associated with them
- Singular Integrals, Rank One Perturbations and Clark Model in General Situation
- Boundary Value Problems, Weyl Functions, and Differential Operators
- Quasi boundary triples and semi-bounded self-adjoint extensions
- Algorithm 810: The SLEIGN2 Sturm-Liouville Code
- SCALES OF BANACH SPACES
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