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math.SP2026
Problems in spectral analysis of canonical Hamiltonian systems
Nikolai Makarov, Alexei Poltoratski, Ashley Ran Zhang
This note focuses on recent results in spectral analysis of canonical systems of differential equations obtained via the approach developed in our previous papers \cite{MIF1, MP3,…
math.SP2025
Direct spectral problems for Paley-Wiener canonical systems
Ashley R. Zhang
This note focuses on the direct spectral problem for canonical Hamiltonian systems on the half-line . Truncated Toeplitz operators have been effectively used to solve…
math.SP2022★ 4 cited
Periodic approximations in inverse spectral problems for canonical Hamiltonian systems
Alexei Poltoratski, Ashley Ran Zhang
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 Toeplit…