Search Results - "Belyi, Sergey"

Sectorial Stieltjes functions and their realizations by L-systems with a Schrödinger operator by Belyi, Sergey

“…We consider classes of sectorial Stieltjes functions. It is shown that a function belonging to these classes can be realized as the impedance function of a…”
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Realization of inverse Stieltjes functions $(-m_\alpha(z))$ by Schrodinger L-systems by Belyi, Sergey, Tsekanovskii, Eduard

“…We study L-system realizations of the original Weyl-Titchmarsh functions $(-m_\alpha(z))$. In the case when the minimal symmetric Schr\"odinger operator is…”
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The original Weyl-Titchmarsh functions and sectorial Shr\"odinger L-systems by Belyi, Sergey, Tsekanovskii, Eduard

“…Contributions to Mathematics and Statistics, Acta Wasaensia, vol. 462, (2021), pp. 37-54 In this paper we study the L-system realizations generated by the…”
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On realization of the original Weyl-Titchmarsh functions by Shr\"odinger L-systems by Belyi, Sergey, Tsekanovskii, Eduard

“…Complex Analysis and Operator Theory, vol. 15 (1), 11 (2021) We study realizations generated by the original Weyl-Titchmarsh functions $m_\infty(z)$ and…”
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The L-system representation and c-entropy by Belyi, Sergey, Makarov, Konstantin A, Tsekanovskii, Eduard

“…Given a symmetric operator $\dot A$ with deficiency indices $(1,1)$ and its self-adjoint extension $A$ in a Hilbert space $\mathcal{H}$, we construct a…”
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Dirac particle in a box, and relativistic quantum Zeno dynamics by Menon, Govind, Belyi, Sergey

“…After developing a complete set of eigenfunctions for a Dirac particle restricted to a box, the quantum Zeno dynamics of a relativistic system is considered…”
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Perturbations of Donoghue classes and inverse problems for L-systems by Belyi, Sergey, Tsekanovskii, Eduard

“…We study linear perturbations of Donoghue classes of scalar Herglotz-Nevanlinna functions by a real parameter $Q$ and their representations as impedance of…”
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On the c-entropy of L-systems with Schrodinger operator by Belyi, Sergey, Makarov, Konstantin, Tsekanovskii, Eduard

“…Complex Analysis and Operator Theory, vol. 16, 107 (2022) We study L-systems whose main operators are extensions of one-dimensional half-line Schr\"odinger…”
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On Sectorial L-systems with Shr\"odinger operator by Belyi, Sergey, Tsekanoskii, Eduard

“…We study L-systems with sectorial main operator and connections of their impedance functions with sectorial Stieltjes and inverse Stieltjes functions…”
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A general realization theorem for matrix-valued Herglotz–Nevanlinna functions by Belyi, Sergey, Hassi, Seppo, de Snoo, Henk, Tsekanovskiiˇ, Eduard

“…New special types of stationary conservative impedance and scattering systems, the so-called non-canonical systems, involving triplets of Hilbert spaces and…”
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On realization of the Kreĭn-Langer class Nκ of matrix-valued functions in Pontryagin spaces by Arlinskiĭ, Yury, Belyi, Sergey, Derkach, Vladimir, Tsekanovskii, Eduard

“…In this paper the realization problems for the Kreĭn–Langer class Nκ of matrix‐valued functions are being considered. We found the criterion when a given…”
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On Krein's formula in indefinite metric spaces by Belyi, Sergey, Tsekanovskii, Eduard

“…In this paper we extend some of the recent results in connection with the Krein resolvent formula which provides a complete description of all canonical…”
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On unimodular transformations of conservative L-systems by Belyi, Sergey, Makarov, Konstantin, Tsekanovskii, Eduard

“…We study unimodular transformations of conservative $L$-systems. Classes $\sM^Q$, $\sM^Q_\kappa$, $\sM^{-1,Q}_\kappa$ that are impedance functions of the…”
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A system coupling and Donoghue classes of Herglotz-Nevanlinna functions by Belyi, Sergey, Makarov, Konstantin, Tsekanovskii, Eduard

“…We study the impedance functions of conservative L-systems with the unbounded main operators. In addition to the generalized Donoghue class $\sM_\kappa$ of…”
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On Krein's Formula in the Case of Non-densely Defined Symmetric Operators by Belyi, Sergey, Menon, Govind, Tsekanovskii, Eduard

“…In this paper we provide some additional results related to Krein's resolvent formula for a non-densely defined symmetric operator. We show that coefficients…”
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Stieltjes like functions and inverse problems for systems with Schr\"odinger operator by Belyi, Sergey, Tsekanovskii, Eduard

“…A class of scalar Stieltjes like functions is realized as linear-fractional transformations of transfer functions of conservative systems based on a…”
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Operator-valued R-functions in the theory of linear dynamic systems by Belyi, Sergey

“…Almost all realizations in the modern theory of non-selfadjoint operators and its applications deal with systems (operator colligations) whose main operator is…”
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A general realization theorem for matrix-valued Herglotz-Nevanlinna functions by Belyi, Sergey, Hassi, Seppo, de Snoo, Henk, Tsekanovskii, Eduard

“…New special types of stationary conservative impedance and scattering systems, the so-called non-canonical systems, involving triplets of Hilbert spaces and…”
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On realization of the Krein-Langer class Nk of matrix-valued functions in Hilbert spaces with indefinite metric by Arlinskii, Yuri, Belyi, Sergey, Derkach, Vladimir, Tsekanovskii, Eduard

“…In this paper the realization problems for the Krein-Langer class $N_\kappa$ of matrix-valued functions are being considered. We found the criterion when a…”
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