R. Bessonov

activity

20102023

most citedSymbols of truncated Toeplitz operators

57 citations · 166 across the 18 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022★ 2 cited

Sobolev norms of $L^{2}$ -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 $q_{0} \in L^{2} (R)$ and $s \in [- 1, 0]$ , we prove t…

math.CA2022

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…

Sobolev norms of L2-solutions to NLS

Szego condition, scattering, and vibration of Krein strings

Sobolev norms of $L^{2}$ -solutions to NLS