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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 изданиях › статья › Рецензирование
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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