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The authors analyze the asymptotics of eigenvalues of Toeplitz matrices with certain continuous and discontinuous symbols.
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E. Shargorodsky. On some open problems in spectral theory, in Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008), edited by M. Levitin and D. Vassiliev, AMS Translations - Series 2, Advances in the Mathematical Sciences, 231
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P. Deift, A. Its, I. Krasovsky. Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Ann. of Math. 174
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T. Claeys, I. Krasovsky. Toeplitz determinants with merging singularities. In preparation
Cited in the paper.
P. Deift, A. Its, I. Krasovsky. On asymptotics of a Toeplitz determinant with singularities. ArXiv: 1206.1292
Cited in the paper.