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α REGULAR INDEFINITE STIELTJES MOMENT PROBLEM AND DARBOUX TRANSFORMATION. / Kovalyov, Ivan; Lebedeva, Elena; Stakhova, Olena.

в: Methods of Functional Analysis and Topology, Том 27, № 4, 01.01.2021, стр. 353-369.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kovalyov, I, Lebedeva, E & Stakhova, O 2021, 'α REGULAR INDEFINITE STIELTJES MOMENT PROBLEM AND DARBOUX TRANSFORMATION', Methods of Functional Analysis and Topology, Том. 27, № 4, стр. 353-369. https://doi.org/10.31392/MFAT-npu26_4.2021.09

APA

Kovalyov, I., Lebedeva, E., & Stakhova, O. (2021). α REGULAR INDEFINITE STIELTJES MOMENT PROBLEM AND DARBOUX TRANSFORMATION. Methods of Functional Analysis and Topology, 27(4), 353-369. https://doi.org/10.31392/MFAT-npu26_4.2021.09

Vancouver

Kovalyov I, Lebedeva E, Stakhova O. α REGULAR INDEFINITE STIELTJES MOMENT PROBLEM AND DARBOUX TRANSFORMATION. Methods of Functional Analysis and Topology. 2021 Янв. 1;27(4):353-369. https://doi.org/10.31392/MFAT-npu26_4.2021.09

Author

Kovalyov, Ivan ; Lebedeva, Elena ; Stakhova, Olena. / α REGULAR INDEFINITE STIELTJES MOMENT PROBLEM AND DARBOUX TRANSFORMATION. в: Methods of Functional Analysis and Topology. 2021 ; Том 27, № 4. стр. 353-369.

BibTeX

@article{b9682c5099904566afbefcd0bff3ee25,
title = "α REGULAR INDEFINITE STIELTJES MOMENT PROBLEM AND DARBOUX TRANSFORMATION",
abstract = "A sequence of the real numbers (Formula Presented) is associated with the some indefinite Stieltjes moment problem and generalized Jacobi matrices. The relation between the α regular indefinite Stieltjes moment problem and shifted Darboux transformation of the generalized Jacobi matrix is studied. The new formulas for the Stieltjes polynomials with the shift are found and one are used to obtain the description of the solutions of the α regular indefinite Stieltjes moment problem.",
keywords = "Darboux transformation, Moment problem, Monic generalized jacobi matrix, M–function, Stieltjes polynomials, Triangular factorization",
author = "Ivan Kovalyov and Elena Lebedeva and Olena Stakhova",
year = "2021",
month = jan,
day = "1",
doi = "10.31392/MFAT-npu26_4.2021.09",
language = "English",
volume = "27",
pages = "353--369",
journal = "Methods of Functional Analysis and Topology",
issn = "1029-3531",
publisher = "Institute of Mathematics NAS of Ukraine",
number = "4",

}

RIS

TY - JOUR

T1 - α REGULAR INDEFINITE STIELTJES MOMENT PROBLEM AND DARBOUX TRANSFORMATION

AU - Kovalyov, Ivan

AU - Lebedeva, Elena

AU - Stakhova, Olena

PY - 2021/1/1

Y1 - 2021/1/1

N2 - A sequence of the real numbers (Formula Presented) is associated with the some indefinite Stieltjes moment problem and generalized Jacobi matrices. The relation between the α regular indefinite Stieltjes moment problem and shifted Darboux transformation of the generalized Jacobi matrix is studied. The new formulas for the Stieltjes polynomials with the shift are found and one are used to obtain the description of the solutions of the α regular indefinite Stieltjes moment problem.

AB - A sequence of the real numbers (Formula Presented) is associated with the some indefinite Stieltjes moment problem and generalized Jacobi matrices. The relation between the α regular indefinite Stieltjes moment problem and shifted Darboux transformation of the generalized Jacobi matrix is studied. The new formulas for the Stieltjes polynomials with the shift are found and one are used to obtain the description of the solutions of the α regular indefinite Stieltjes moment problem.

KW - Darboux transformation

KW - Moment problem

KW - Monic generalized jacobi matrix

KW - M–function

KW - Stieltjes polynomials

KW - Triangular factorization

UR - http://www.scopus.com/inward/record.url?scp=85131094448&partnerID=8YFLogxK

U2 - 10.31392/MFAT-npu26_4.2021.09

DO - 10.31392/MFAT-npu26_4.2021.09

M3 - Article

AN - SCOPUS:85131094448

VL - 27

SP - 353

EP - 369

JO - Methods of Functional Analysis and Topology

JF - Methods of Functional Analysis and Topology

SN - 1029-3531

IS - 4

ER -

ID: 104111267