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2012 / December Volume 7 No.4
Eigenvalues of Toeplitz Matrices in the Bulk of the Spectrum
Published Date
2012 / December
Title
Eigenvalues of Toeplitz Matrices in the Bulk of the Spectrum
Author
P. Deift, A. Its, I. Krasovsky
Keyword
Toeplitz matrices, Toeplitz determinants, spectral analysis, symptotics, Toeplitz matrices, Toeplitz determinants, spectral analysis, symptotics
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Pagination
437-461
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.
AMS Subject
Classification
15B05, 62M15, 34L20
Received
2012-06-18
Accepted
2012-07-14
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