Singular boundary conditions for Sturm–Liouville operators via perturbation theory
DOI10.4153/s0008414x22000293arXiv2011.03388WikidataQ114021618 ScholiaQ114021618MaRDI QIDQ6165474
No author found.
Publication date: 1 August 2023
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.03388
singular perturbationspectral theorySturm-Liouvilleboundary triplesingular boundary conditionsselfadjoint extensionboundary pairselfadjoint perturbation
Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Perturbation theory of linear operators (47A55) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Singular perturbations of ordinary differential equations (34D15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for a singular Sturm-Liouville problem
- Harmonic analysis, partial differential equations, Banach spaces, and operator theory. Volume 2. Celebrating Cora Sadosky's life
- Relative form boundedness and compactness for a second-order differential operator
- Hilbert space, boundary value problems and orthogonal polynomials
- Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator
- High order singular rank one perturbations of a positive operator
- Rank one perturbations and singular integral operators
- Generalized resolvents and the boundary value problems for Hermitian operators with gaps
- Extensions of symmetric operators and symmetric binary relations
- A general left-definite theory for certain self-adjoint operators with applications to differential equations
- Boundary conditions associated with the general left-definite theory for differential operators
- \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula
- Rank one perturbations at infinite coupling
- Distribution theory for discontinuous test functions and differential operators with generalized coefficients
- The Friedrichs extension of singular differential operators
- Matrix measures and finite rank perturbations of self-adjoint operators
- Properties and decompositions of domains for powers of the Jacobi differential operator
- On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below
- Spectral analysis, model theory and applications of finite-rank perturbations
- The Bessel differential equation and the Hankel transform
- Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
- On a Problem of Weyl in the Theory of Singular Sturm-Liouville Equations
- Maximal sectorial extensions and closed forms associated with them
- Deficiency indices and singular boundary conditions in quantum mechanics
- Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
- Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
- Parametrizations of Titchmarsh's m(λ)-Functions in the Limit Circl Case
- ON A CLASS OF BOUNDARY VALUE PROBLEMS WITH SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
- On Matrix-Valued Herglotz Functions
- Ordinary Differential Operators
- Boundary Value Problems, Weyl Functions, and Differential Operators
- Algorithm 810: The SLEIGN2 Sturm-Liouville Code
- On spectral theory for Schrödinger operators with strongly singular potentials
- On the perturbation of spectra
- SCALES OF BANACH SPACES
- General Self-Adjoint Boundary Conditions for Certain Partial Differential Operators
- Operators satisfying smoothness conditions