4 citations · 4 across the 5 of their papers we have counts for
5 papers
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,…
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…
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…
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…
Reduced Basis Approximations of the Solutions to Spectral Fractional Diffusion Problems
Andrea Bonito, Diane Guignard, Ashley R. Zhang
We consider the numerical approximation of the spectral fractional diffusion problem based on the so called Balakrishnan representation. The latter consists of an improper integral…