Linear operators associated with differential and difference systems: what is different?
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Publication:2050498
DOI10.1007/978-3-030-60107-2_25zbMath1472.39040OpenAlexW3119631453MaRDI QIDQ2050498
Publication date: 31 August 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-60107-2_25
time scalelinear relationsdiscrete symplectic systemdensely defined operatorlinear Hamiltonian differential systemmulti-valuedness
General spectral theory of ordinary differential operators (34L05) Discrete version of topics in analysis (39A12) Difference operators (39A70) Symplectic and canonical mappings (37J11) Completely integrable discrete dynamical systems (37J70)
Related Items
Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter, Discrete symplectic systems, boundary triplets, and self-adjoint extensions, Resolvent and spectrum for discrete symplectic systems in the limit point case
Cites Work
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- Characterization of self-adjoint extensions for discrete symplectic systems
- Limit point and limit circle classification for symplectic systems on time scales
- On discrete symplectic systems: associated maximal and minimal linear relations and nonhomogeneous problems
- Self-adjoint extensions for second-order symmetric linear difference equations
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Operational calculus of linear relations
- Spectral theory of ordinary differential operators
- Discrete time quantum mechanics
- Disconjugacy and transformations for symplectic systems
- Quantum mechanics with difference operators
- On the density of the minimal subspaces generated by discrete linear Hamiltonian systems
- Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle
- Renormalized oscillation theory for Hamiltonian systems
- On the Krein and Friedrichs extensions of a positive Jacobi operator
- Discrete and continuous boundary problems
- Spectral Theory of the Difference Equations in Isotopically Disordered Harmonic Chains
- On a formula of the generalized resolvents of a nondensely defined Hermitian operator
- Differential and difference calculus — Unified!
- $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
- Generalized Lagrange Identity for Discrete Symplectic Systems and Applications in Weyl–Titchmarsh Theory
- Weyl-Titchmarsh theory and Borg-Marchenko-type uniqueness results for CMV operators with matrix-valued Verblunsky coefficients
- Extension theory of formally normal and symmetric subspaces
