2 citations · 7 across the 22 of their papers we have counts for
24 papers
Dissipation and c-Entropy in Nevanlinna-Pick Interpolation
Sergey Belyi, Konstantin A. Makarov, Eduard Tsekanovskii
We study interpolation L-systems realizing finite Nevanlinna-Pick data sets and analyze their structural and quantitative characteristics. Explicit formulas are derived for the c-e…
The c-Entropy of non-dissipative L-systems
Sergey Belyi, Konstantin A. Makarov, Eduard Tsekanovskii
In this paper, we extend the definition of c-entropy to canonical L-systems with non-dissipative state-space operators. We also introduce the concepts of dissipation and accumulati…
L-systems with Multiplication Operator and c-Entropy
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
In this note, we utilize the concepts of c-entropy and the dissipation coefficient in connection with canonical L-systems based on the multiplication (by a scalar) operator. Additi…
The c-Entropy optimality of Donoghue classes
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
In this note we evaluate c-Entropy of perturbed L-systems introduced in [5]. Explicit formulas relating the c-Entropy of the L-systems and the perturbation parameter are establishe…
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…
Realization of inverse Stieltjes functions by Schrodinger L-systems
Sergey Belyi, Eduard Tsekanovskii
We study L-system realizations of the original Weyl-Titchmarsh functions . In the case when the minimal symmetric Schrödinger operator is non-negative, we describe the S…