Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval
From MaRDI portal
Publication:837068
DOI10.1016/j.jfa.2009.05.010zbMath1178.34014arXiv0808.2547OpenAlexW2964132574MaRDI QIDQ837068
Dmitry Chelkak, Evgeny L. Korotyaev
Publication date: 10 September 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0808.2547
Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)
Related Items
Unique determination of a system by a part of the monodromy matrix ⋮ The inverse Sturm–Liouville problem with mixed boundary conditions ⋮ Weyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolation ⋮ Global transformations preserving Sturm-Liouville spectral data ⋮ Necessary and sufficient conditions for the solvability of the inverse problem for the matrix Sturm-Liouville operator ⋮ Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ Discretization of inverse scattering on a half line ⋮ Inverse spectral problems for Dirac operators with summable matrix-valued potentials ⋮ Trace formulae for the matrix Schrödinger equation with energy-dependent potential ⋮ Inverse spectral problems for Dirac operators on a finite interval ⋮ Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph ⋮ An application of the fixed point theorem to the inverse Sturm-Liouville problem ⋮ Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line ⋮ Spectral asymptotics for the third order operator with periodic coefficients ⋮ Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions ⋮ Inverse problems for finite vector-valued Jacobi operators ⋮ Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator ⋮ Spectral analysis of the matrix Sturm-Liouville operator
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem
- Inverse problems for matrix Sturm-Liouville operators
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- The spectral class of the quantum-mechanical harmonic oscillator
- Inverse spectral theory for a singular Sturm-Liouville operator on \([0,1\)]
- Isospectral vector-valued Sturm-Liouville problems
- Borg-type theorems for matrix-valued Schrödinger operators
- An inverse problem for the matrix Schrödinger equation
- The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition
- Inverse spectral problems and closed exponential systems
- Inverse problem for harmonic oscillator perturbed by potential, characterization
- Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
- Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
- Some inverse spectral problems for vectorial Sturm-Liouville equations
- On the n -dimensional Ambarzumyan's theorem
- An Inverse Sturm–Liouville Problem with Mixed Given Data
- On the determination of a differential equation from its spectral function
- The inverse Sturm–Liouville problem. II
- The inverse Sturm–Liouville problem III
- Chains of Darboux transformations for the matrix Schrödinger equation
- Inverse scattering transform for general matrix Schrodinger operators and the related symplectic structure
- The inverse Sturm‐Liouville problem. I
- Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
- Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle
- Inverse spectral theory as influenced by Barry Simon
- Spectral estimates for Schrodinger operators with periodic matrix potentials on the real line