112 citations · 315 across the 38 of their papers we have counts for
40 papers
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…
Representations of commutation relations in Dissipative Quantum Mechanics
K. A. Makarov, E. Tsekanovskii
We prove the uniqueness theorem for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions that are close to unitaries.…
Diagonalization of indefinite saddle point forms
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +2
We obtain sufficient conditions that ensure block diagonalization (by a direct rotation) of sign-indefinite symmetric sesquilinear forms as well as the associated operators that ar…
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…