3 papers
math.CA2026
From local to global asymptotic behaviour of orthogonal polynomials
Roman Bessonov, Artur Nicolau
Let be the sequence of reflected orthogonal polynomials on the unit circle generated by a measure of Szegő class, and let be the Szegő f…
math.SP2025
Direct and inverse spectral continuity for Dirac operators
Roman Bessonov, Pavel Gubkin
The half-line Dirac operators with -potentials can be characterized by their spectral data. It is known that the spectral correspondence is a homeomorphism: close potentials g…
math.SP2024
Stability of Schur's iterates and fast solution of the discrete integrable NLS
R. V. Bessonov, P. V. Gubkin
We prove a sharp stability estimate for Schur iterates of contractive analytic functions in the open unit disk. We then apply this result in the setting of the inverse scattering a…