Standard

Dynamic inverse problem for Jacobi matrices. / Mikhaylov, Alexandr ; Mikhaylov, Victor.

In: Inverse Problems and Imaging, Vol. 13, No. 3, 2019, p. 431-447.

Research output: Contribution to journal › Article › peer-review

Harvard

Mikhaylov, A & Mikhaylov, V 2019, 'Dynamic inverse problem for Jacobi matrices', Inverse Problems and Imaging, vol. 13, no. 3, pp. 431-447. https://doi.org/10.3934/ipi.2019021

APA

Mikhaylov, A., & Mikhaylov, V. (2019). Dynamic inverse problem for Jacobi matrices. Inverse Problems and Imaging, 13(3), 431-447. https://doi.org/10.3934/ipi.2019021

Vancouver

Mikhaylov A, Mikhaylov V. Dynamic inverse problem for Jacobi matrices. Inverse Problems and Imaging. 2019;13(3):431-447. https://doi.org/10.3934/ipi.2019021

Author

Mikhaylov, Alexandr ; Mikhaylov, Victor. / Dynamic inverse problem for Jacobi matrices. In: Inverse Problems and Imaging. 2019 ; Vol. 13, No. 3. pp. 431-447.

BibTeX

@article{b91c1bd8943c44dda0c7019748c5bf60,
title = "Dynamic inverse problem for Jacobi matrices",
abstract = "We consider the inverse dynamic problem for a dynamical system with discrete time associated with a semi-infinite Jacobi matrix. We derive discrete analogs of Krein equations and answer a question on the characterization of dynamic inverse data. As a consequence we obtain a necessary and sufficient condition for a measure on a real line to be a spectral measure of a semi-infinite discrete Schr{\"o}dinger operator.",
keywords = "Boundary control method, Characterization of inverse data, Discrete schr{\"o}dinger operator, Inverse problem, Jacobi matrices",
author = "Alexandr Mikhaylov and Victor Mikhaylov",
note = "Alexandr Mikhaylov, Victor Mikhaylov. Dynamic inverse problem for Jacobi matrices. Inverse Problems & Imaging, 2019, 13 (3) : 431-447. doi: 10.3934/ipi.2019021",
year = "2019",
doi = "10.3934/ipi.2019021",
language = "English",
volume = "13",
pages = "431--447",
journal = "Inverse Problems and Imaging",
issn = "1930-8337",
publisher = "American Institute of Mathematical Sciences",
number = "3",

}

RIS

TY - JOUR

T1 - Dynamic inverse problem for Jacobi matrices

AU - Mikhaylov, Alexandr

AU - Mikhaylov, Victor

N1 - Alexandr Mikhaylov, Victor Mikhaylov. Dynamic inverse problem for Jacobi matrices. Inverse Problems & Imaging, 2019, 13 (3) : 431-447. doi: 10.3934/ipi.2019021

PY - 2019

Y1 - 2019

N2 - We consider the inverse dynamic problem for a dynamical system with discrete time associated with a semi-infinite Jacobi matrix. We derive discrete analogs of Krein equations and answer a question on the characterization of dynamic inverse data. As a consequence we obtain a necessary and sufficient condition for a measure on a real line to be a spectral measure of a semi-infinite discrete Schrödinger operator.

AB - We consider the inverse dynamic problem for a dynamical system with discrete time associated with a semi-infinite Jacobi matrix. We derive discrete analogs of Krein equations and answer a question on the characterization of dynamic inverse data. As a consequence we obtain a necessary and sufficient condition for a measure on a real line to be a spectral measure of a semi-infinite discrete Schrödinger operator.

KW - Boundary control method

KW - Characterization of inverse data

KW - Discrete schrödinger operator

KW - Inverse problem

KW - Jacobi matrices

UR - http://www.scopus.com/inward/record.url?scp=85065717816&partnerID=8YFLogxK

U2 - 10.3934/ipi.2019021

DO - 10.3934/ipi.2019021

M3 - Article

VL - 13

SP - 431

EP - 447

JO - Inverse Problems and Imaging

JF - Inverse Problems and Imaging

SN - 1930-8337

IS - 3

ER -

ID: 38721909