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Construction of Solutions of Toda Lattices by the Classical Moment Problem. / Михайлов, Александр Сергеевич; Михайлов, Виктор Сергеевич.

в: Journal of Mathematical Sciences (United States), Том 283, № 4, 01.08.2024, стр. 573–585.

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

Harvard

Михайлов, АС & Михайлов, ВС 2024, 'Construction of Solutions of Toda Lattices by the Classical Moment Problem', Journal of Mathematical Sciences (United States), Том. 283, № 4, стр. 573–585. https://doi.org/10.1007/s10958-024-07294-8

APA

Михайлов, А. С., & Михайлов, В. С. (2024). Construction of Solutions of Toda Lattices by the Classical Moment Problem. Journal of Mathematical Sciences (United States), 283(4), 573–585. https://doi.org/10.1007/s10958-024-07294-8

Vancouver

Михайлов АС, Михайлов ВС. Construction of Solutions of Toda Lattices by the Classical Moment Problem. Journal of Mathematical Sciences (United States). 2024 Авг. 1;283(4):573–585. https://doi.org/10.1007/s10958-024-07294-8

Author

Михайлов, Александр Сергеевич ; Михайлов, Виктор Сергеевич. / Construction of Solutions of Toda Lattices by the Classical Moment Problem. в: Journal of Mathematical Sciences (United States). 2024 ; Том 283, № 4. стр. 573–585.

BibTeX

@article{f4991eb8f5094bb18d41b2390868d355,
title = "Construction of Solutions of Toda Lattices by the Classical Moment Problem",
abstract = "Using formulas of J. Moser for finite-dimensional Toda lattices, we derive the evolution law for moments of the spectral measure of the semi-infinite Jacobi operator associated with the Toda lattice. This allows us to construct solutions of semi-infinite Toda lattices for a wide class of unbounded initial data by using well-known results from the classical moment problem theory.",
author = "Михайлов, {Александр Сергеевич} and Михайлов, {Виктор Сергеевич}",
year = "2024",
month = aug,
day = "1",
doi = "10.1007/s10958-024-07294-8",
language = "English",
volume = "283",
pages = "573–585",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Construction of Solutions of Toda Lattices by the Classical Moment Problem

AU - Михайлов, Александр Сергеевич

AU - Михайлов, Виктор Сергеевич

PY - 2024/8/1

Y1 - 2024/8/1

N2 - Using formulas of J. Moser for finite-dimensional Toda lattices, we derive the evolution law for moments of the spectral measure of the semi-infinite Jacobi operator associated with the Toda lattice. This allows us to construct solutions of semi-infinite Toda lattices for a wide class of unbounded initial data by using well-known results from the classical moment problem theory.

AB - Using formulas of J. Moser for finite-dimensional Toda lattices, we derive the evolution law for moments of the spectral measure of the semi-infinite Jacobi operator associated with the Toda lattice. This allows us to construct solutions of semi-infinite Toda lattices for a wide class of unbounded initial data by using well-known results from the classical moment problem theory.

UR - https://www.mendeley.com/catalogue/f00d84b3-1a33-3be5-b22a-9043ed41b10e/

U2 - 10.1007/s10958-024-07294-8

DO - 10.1007/s10958-024-07294-8

M3 - Article

VL - 283

SP - 573

EP - 585

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 126518185