English

Eigenvalues of Toeplitz matrices in the bulk of the spectrum

Functional Analysis 2014-12-08 v2 Mathematical Physics Classical Analysis and ODEs math.MP

Abstract

The authors analyze the asymptotics of eigenvalues of Toeplitz matrices with certain continuous and discontinuous symbols. In particular, the authors prove a conjecture of Levitin and Shargorodsky on the near-periodicity of Toeplitz eigenvalues.

Keywords

Cite

@article{arxiv.1110.4089,
  title  = {Eigenvalues of Toeplitz matrices in the bulk of the spectrum},
  author = {P. Deift and A. Its and I. Krasovsky},
  journal= {arXiv preprint arXiv:1110.4089},
  year   = {2014}
}

Comments

17 pages, small changes, title modified