English

Periodic perturbations of unbounded Jacobi matrices I: Asymptotics of generalized eigenvectors

Spectral Theory 2017-02-07 v4 Classical Analysis and ODEs

Abstract

We study asymptotics of generalized eigenvectors associated with Jacobi matrices. Under weak conditions on the coefficients we identify when the matrices are self-adjoint and show that they satisfy strong non-subordinacy condition.

Keywords

Cite

@article{arxiv.1602.06273,
  title  = {Periodic perturbations of unbounded Jacobi matrices I: Asymptotics of generalized eigenvectors},
  author = {Grzegorz Świderski and Bartosz Trojan},
  journal= {arXiv preprint arXiv:1602.06273},
  year   = {2017}
}

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34 pages