Percy Deift, A. R. Its, Igor Krasovsky
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.
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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.
Key concepts: Toeplitz matrix, Eigenvalues and eigenvectors, Levinson recursion, Mathematics, Conjecture, Pure mathematics, Algebra over a field, Combinatorics