48 citations · 53 across the 4 of their papers we have counts for
7 papers
On zeroes and poles of Helson zeta functions
I. Bochkov, R. Romanov
We show that the analytic continuations of Helson zeta functions can have essentially arbitrary poles and zeroes in the strip $ 21/40 < \Re s…
Canonical systems with discrete spectrum
Roman Romanov, Harald Woracek
We study spectral properties of two-dimensional canonical systems , , where the Hamiltonian is locally integrable on , positive semidefinite…
Bounds on order of indeterminate moment sequences
Raphael Pruckner, Roman Romanov, Harald Woracek
We investigate the order of the four entire functions in the Nevanlinna matrix of an indeterminate Hamburger moment sequence. We give an upper estimate for which is explici…
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…
Order problem for canonical systems and a conjecture of Valent
Roman Romanov
We establish a sharp upper estimate for the order of a canonical system in terms of the Hamiltonian. This upper estimate becomes an equality in the case of Krein strings. As an app…
Canonical systems and de Branges spaces
Roman Romanov
This is an exposition of the inverse spectral theory of canonical systems based on de Branges spaces of entire functions
Estimates of solutions of linear Boltzmann equation at large time and spectral singularities
Roman Romanov
The spectral analysis of the dissipative linear transport (Boltzmann) operator with polynomial collision integral by the Szokefalvi-Nagy - Foias functional model is given. An exact…