3 papers
math.FA2022
Functional description of a class of quasi-invariant determinantal processes
Roman Romanov
We give a functional characterization of a class of quasi-invariant determinantal processes corresponding to projection kernels in terms of de Branges spaces of entire funcitons.
math.FA2007
Notions of absolutely continuous subspace for nonselfadjoint operators
Roman Romanov
We give an example of an operator with different weak and strong absolutely continuous subspaces, and a counterexample to the duality problem for the spectral components. Both exam…
math.SP2007
On Selfadjoint Subspace of One-Speed Boltzmann Operator
Roman Romanov, Michael Tihomirov
The aim of the paper is to obtain a description of the selfadjoint subspace of the one-speed Boltzmann operator. It is proved that this subspace is nontrivial if the collision inte…