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Inverse Resonance Problem for Jacobi Operators on a Half-Lattice. / Коротяев, Евгений Леонидович; Leonova, E.

в: Russian Journal of Mathematical Physics, Том 30, № 3, 2023, стр. 320-344.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Коротяев, Евгений Леонидович ; Leonova, E. / Inverse Resonance Problem for Jacobi Operators on a Half-Lattice. в: Russian Journal of Mathematical Physics. 2023 ; Том 30, № 3. стр. 320-344.

BibTeX

@article{d1738b3ceb5e457683f752624c7fb57d,
title = "Inverse Resonance Problem for Jacobi Operators on a Half-Lattice",
abstract = "We solve the inverse problem for Jacobi operators on the half lattice with finitely supported perturbations, in particular, in terms of resonances. Our proof is based on the results for the inverse eigenvalue problem for specific finite Jacobi matrices and theory of polynomials. We determine forbidden domains for resonances and maximal possible multiplicities of real and complex resonances.",
author = "Коротяев, {Евгений Леонидович} and E. Leonova",
year = "2023",
doi = "10.1134/S1061920823030056",
language = "русский",
volume = "30",
pages = "320--344",
journal = "Russian Journal of Mathematical Physics",
issn = "1061-9208",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "3",

}

RIS

TY - JOUR

T1 - Inverse Resonance Problem for Jacobi Operators on a Half-Lattice

AU - Коротяев, Евгений Леонидович

AU - Leonova, E.

PY - 2023

Y1 - 2023

N2 - We solve the inverse problem for Jacobi operators on the half lattice with finitely supported perturbations, in particular, in terms of resonances. Our proof is based on the results for the inverse eigenvalue problem for specific finite Jacobi matrices and theory of polynomials. We determine forbidden domains for resonances and maximal possible multiplicities of real and complex resonances.

AB - We solve the inverse problem for Jacobi operators on the half lattice with finitely supported perturbations, in particular, in terms of resonances. Our proof is based on the results for the inverse eigenvalue problem for specific finite Jacobi matrices and theory of polynomials. We determine forbidden domains for resonances and maximal possible multiplicities of real and complex resonances.

U2 - 10.1134/S1061920823030056

DO - 10.1134/S1061920823030056

M3 - статья

VL - 30

SP - 320

EP - 344

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 3

ER -

ID: 126835022