An operator theoretic interpretation of the generalized Titchmarsh-Weyl function for perturbed spherical Schrödinger operators
DOI10.1007/s11785-014-0425-8zbMath1344.34095OpenAlexW2076221242MaRDI QIDQ496528
Annemarie Luger, Christoph Neuner
Publication date: 22 September 2015
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-014-0425-8
generalized Nevanlinna functiongeneralized Titchmarsh-Weyl functionsingular differential operatorsuper singular perturbations
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05)
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Cites Work
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- An operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for a singular Sturm-Liouville problem
- On the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operators
- High order singular rank one perturbations of a positive operator
- Triplet extensions. I: Semibounded operators in the scale of Hilbert spaces
- Rank one perturbations, approximations, and selfadjoint extensions
- Singular point-like perturbations of the Bessel operator in a Pontryagin space
- \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula
- Quantum-mechanical models in \(R_ n\) associated with extensions of the energy operator in a Pontryagin space
- Sturm-Liouville operators with singularities and generalized Nevanlinna functions
- Weyl-Titchmarsh Theory for Schrodinger Operators with Strongly Singular Potentials
- Titchmarsh-Weyl m -functions for second-order Sturm-Liouville problems with two singular endpoints
- Scattering from generalized point interactions using self-adjoint extensions in Pontryagin spaces
- On spectral theory for Schrödinger operators with strongly singular potentials
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