57 citations · 166 across the 18 of their papers we have counts for
18 papers
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…
Sobolev norms of -solutions to NLS
Roman V. Bessonov, Sergey A. Denisov
We apply inverse spectral theory to study Sobolev norms of solutions to the nonlinear Schrodinger equation. For initial datum and , we prove t…
Szego condition, scattering, and vibration of Krein strings
R. Bessonov, S. Denisov
We give a dynamical characterization of measures on the real line with finite logarithmic integral. The general case is considered in the setting of evolution groups generated by d…
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…
Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
We develop a comprehensive theory of reflectionless canonical systems with an arbitrary Dirichlet-regular Widom spectrum with the Direct Cauchy Theorem property. This generalizes,…
Reflectionless canonical systems, I. Arov gauge and right limits
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
In spectral theory, -monotonic families of matrix functions appear as transfer matrices of many one-dimensional operators. We present a general theory of such famili…
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…
De Branges canonical systems with finite logarithmic integral
Roman Bessonov, Sergey Denisov
Krein-de Branges spectral theory establishes a correspondence between the class of differential operators called canonical Hamiltonian systems and measures on the real line with fi…
Szego condition and scattering for one-dimensional Dirac operators
R. V. Bessonov
We prove existence of modified wave operators for one-dimensional Dirac operators whose spectral measures belong to the Szego class on the real line.
Schatten properties of Toeplitz operators on the Paley-Wiener space
R. V. Bessonov
We collect several old and new descriptions of Schatten class Toeplitz operators on the Paley-Wiener space and answer a question on discrete Hilbert transform commutators posed by…
Sampling measures, Muckenhoupt Hamiltonians, and triangular factorization
R. V. Bessonov
Let be an even measure on the real line such that for all functi…
An inverse problem for weighted Paley-Wiener spaces
R. V. Bessonov, R. V. Romanov
Let be a measure on the real line such that and let . Assume that the norms and $\|f…
Averaged wave operators and complex-symmetric operators
Roman Bessonov, Vladimir Kapustin
We study the behaviour of sequences , where are unitary operators, whose spectral measures are singular with respect to the Lebesgue measure, and 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.
The past and future wave operators on the singular spectrum
R. V. Bessonov
We consider averaged wave operators constructed for singular unitary operators , and a bounded identification operator . In the case of rank-two commutator $AU_1 - U_…
Symbols of truncated Toeplitz operators
Anton Baranov, Roman Bessonov, Vladimir Kapustin
We consider three problems connected with coinvariant subspaces of the backward shift operator in Hardy spaces : 1) properties of truncated Toeplitz operators; 2) Carleson-typ…