Search Results - "Kovalyov, Ivan"
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1
Darboux transformation of symmetric Jacobi matrices and Toda lattices
Published in Frontiers in applied mathematics and statistics (16-05-2024)“…Let J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = ) with L (or…”
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2
Shifted Darboux Transformations of the Generalized Jacobi Matrices, I
Published in Journal of mathematical sciences (New York, N.Y.) (04-10-2019)“…Let ℑ be a monic generalized Jacobi matrix, i.e., a three-diagonal block matrix of a special form. We find conditions for a monic generalized Jacobi matrix ℑ…”
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3
Darboux transformation with parameter of generalized Jacobi matrices
Published in Journal of mathematical sciences (New York, N.Y.) (02-05-2017)“…A monic generalized Jacobi matrix J is factorized into upper and lower triangular two-diagonal block matrices of special forms so that J = UL . It is shown…”
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4
A truncated indefinite Stieltjes moment problem
Published in Journal of mathematical sciences (New York, N.Y.) (01-07-2017)“…A truncated indefinite Stieltjes moment problem in the class N κ k of generalized Stieltjes functions is studied. The set of solutions of the Stieltjes moment…”
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5
Darboux Transformation of the Laguerre Operator
Published in Complex analysis and operator theory (01-03-2018)“…Let L α be a Laguerre operator with α ∉ Z - = { - 1 , - 2 , … } . Constructing the pairs of the factorization operators L , R or L , R such that L α = LR or L…”
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6
The Schur algorithm for an indefinite Stieltjes moment problem
Published in Mathematische Nachrichten (01-08-2017)“…The nondegenerate truncated indefinite Stieltjes moment problem in the class Nκk of generalized Stieltjes functions is considered. To describe the set of…”
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7
An operator approach to the indefinite Stieltjes moment problem
Published in Journal of mathematical sciences (New York, N.Y.) (04-11-2017)“…A function f meromorphic on ℂ\ℝ is said to be in the generalized Nevanlinna class N κ ( κ ϵ ℤ + ), if f is symmetric with respect to ℝ and the kernel N ω z ≔ f…”
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8
Rational generalized Stieltjes functions
Published in Constructive mathematical analysis (15-09-2022)“…The rational meromorphic functions on $\mathbb{C}\backslash\mathbb{R}$ are studied. We consider the some classes of one, as the generalized Nevanlinna…”
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Two-dimensional moment problem and Schur algorithm
Published 04-04-2024“…We study a truncated two-dimensional moment problem in terms of the Stieltjes transform. The set of the solutions is described by the Schur step-by-step…”
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10
Uncertainty product for Vilenkin groups
Published 09-10-2017“…We study a localization of functions defined on Vilenkin groups. To measure the localization we introduce two uncertainty products $UP_{\lambda}$ and $UP_{G}$…”
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11
Schur algorithm for Stieltjes indefinite moment problem
Published 10-06-2016“…Nondegenerate truncated indefinite Stieltjes moment problem in the class $\mathbf{N}_{\kappa}^{k}$ of generalized Stieltjes functions is considered. To…”
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