3 papers
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.CA2024
Convergence from the discrete to the continuous non-linear Fourier transform
Ashley R. Zhang
In this note, we study the convergence from the discrete to the continuous non-linear Fourier transform. Relations between spectral problems and questions in complex function theor…