57 citations · 166 across the 18 of their papers we have counts for
6 papers · 1 filter
On rate of convergence for universality limits
Roman Bessonov
Given a probability measure on the unit circle , consider the reproducing kernel in the space of polynomials of degree at most with the $L…
Entropy function and orthogonal polynomials
R. V. Bessonov
We give a simple proof of a classical theorem by A.Máté, P.Nevai, and V.Totik on asymptotic behavior of orthogonal polynomials on the unit circle. It is based on a new real-variabl…
Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials
Roman Bessonov, Sergey Denisov
Let be a measure from Szegő class on the unit circle and let be the family of Schur functions generated by . In this paper, we prove a version of the c…
Fredholmness and compactness of truncated Toeplitz and Hankel operators
R. V. Bessonov
We prove the spectral mapping theorem for the Fredholm spectrum of a truncated Toeplitz operator with symbol in the Sarason algebra …
Duality theorems for coinvariant subspaces of
R. V. Bessonov
Let be an inner function satisfying the connected level set condition of B. Cohn, and let be the shift-coinvariant subspace of the Hardy space generated by .…
Truncated Toeplitz operators of finite rank
R. V. Bessonov
We give a complete description of the finite-rank truncated Toeplitz operators.