Jacobi matrices with lacunary spectrum

We find asymptotics of entries of Jacobi matrices with lacunary spectral data under some additional growth conditions. We also prove the inverse results. In addition, we study connections between Jacobi matrices, canonical systems and de Branges spaces for lacunary spectral data.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2021-11, Vol.503 (1), p.125300, Article 125300
Main Author: Losev, Ilya
Format: Article
Language:English
Subjects:
Canonical systems
de Branges spaces
de Branges theory
Direct and inverse spectral problems
Jacobi matrices
Krein
Citations: Items that this one cites
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Description
Summary:We find asymptotics of entries of Jacobi matrices with lacunary spectral data under some additional growth conditions. We also prove the inverse results. In addition, we study connections between Jacobi matrices, canonical systems and de Branges spaces for lacunary spectral data.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125300