112 citations · 315 across the 38 of their papers we have counts for
31 papers · 1 filter
The L-system representation and c-entropy
Sergey Belyi, Konstantin A. Makarov, Eduard Tsekanovskii
Given a symmetric operator with deficiency indices and its self-adjoint extension in a Hilbert space , we construct a (unique) L-system with the m…
On the invariance principle for a characteristic function
K. A. Makarov, E. Tsekanovskii
We extend the invariance principle for a characteristic function of a dissipative operator with respect to the group of affine transformations of the real axis preserving the orien…
The Tan -Theorem in Fluid Dynamics
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +2
We show that the generalized Reynolds number (in fluid dynamics) introduced by Ladyzhenskaya is closely related to the rotation of the positive spectral subspace of the Stokes bloc…
On unimodular transformations of conservative L-systems
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
We study unimodular transformations of conservative -systems. Classes $\sM^Q$, $\sM^Q_κ$, $\sM^{-1,Q}_κ$ that are impedance functions of the corresponding -systems are introd…
On invariant graph subspaces
Konstantin A. Makarov, Stephan Schmitz, Albrecht Seelmann
In this paper we discuss the problem of decomposition for unbounded operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assump…
On a perturbation determinant for accumulative operators
Konstantin A. Makarov, Anna Skripka, Maxim Zinchenko
For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-pl…