R. Bessonov

collaborators

2 papers

math.CA2026

From local to global asymptotic behaviour of orthogonal polynomials

Roman Bessonov, Artur Nicolau

Let ${I ¨ _{n}^{*}}$ be the sequence of reflected orthogonal polynomials on the unit circle $\partial D$ generated by a measure $I^¼$ of SzegÅ class, and let $D_{I^} ¼$ be the Sze…

math.SP2025

Direct and inverse spectral continuity for Dirac operators

Roman Bessonov, Pavel Gubkin

The half-line Dirac operators with $L^{2}$ -potentials can be characterized by their spectral data. It is known that the spectral correspondence is a homeomorphism: close potentials g…