The two-spectra inverse problem for semi-infinite Jacobi matrices in the limit-circle case
DOI10.1007/s11040-008-9044-9zbMath1189.47030arXiv0707.1732OpenAlexW2046808126MaRDI QIDQ1035380
Publication date: 2 November 2009
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.1732
Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear difference operators (47B39) Inverse problems in optimal control (49N45) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items (3)
Cites Work
- Trace formulas and inverse spectral theory for Jacobi operators
- The classical moment problem as a self-adjoint finite difference operator
- M. G. Krein's lectures on entire operators
- \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices
- On local Borg-Marchenko uniqueness results
- Inverse theorems for Jacobi matrices
- On the two spectra inverse problem for semi-infinite Jacobi matrices
- The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition
- Inverse spectral-scattering problem with two sets of discrete spectra for the radial Schrödinger equation
- Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators
- On the perturbation of spectra
- The Inverse Resonance Problem for Jacobi Operators
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