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Periodic approximations in inverse spectral problems for canonical Hamiltonian systems
- Publication Year :
- 2022
-
Abstract
- This note is devoted to inverse spectral problems for canonical Hamiltonian systems on the half-line. An approach to inverse spectral problems based on the use of truncated Toeplitz operators has been especially effective in the case when the spectral measure of the system is a locally finite periodic measure (see \cite{MP}). In this note we extend the periodic algorithm to the case of non-periodic measures by considering periodizations of a spectral measure and showing that the Hamiltonians corresponding to the periodizations converge to the Hamiltonian of the original measure.
- Subjects :
- Mathematics - Spectral Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2208.00055
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jfa.2023.109883