Eigenvalues of Toeplitz Matrices in the Bulk of the Spectrum
by P. Deift   A. Its   I. Krasovsky  

Vol. 7 No. 4 (2012) P.437~P.461

ABSTRACT

The authors use results from [6, 7] to 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
Toeplitz matrices, Toeplitz determinants, spectral analysis, symptotics

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 15B05, 62M15, 34L20

MILESTONES

Received: 2011-12-06
Revised : 2012-06-18
Accepted: 2012-07-14

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