EIGENVALUES OF TOEPLITZ MATRICES IN THE BULK OF THE SPECTRUM

被引：0

作者：

Deift, P. ^{[1
]}

Its, A. ^{[2
]}

Krasovsky, I. ^{[3
]}

机构：

[1] New York Univ, Courant Inst Math Sci, New York, NY 10003 USA

[2] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

[3] Imperial Coll, London, England

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2012年 / 7卷 / 04期

基金：

美国国家科学基金会; 英国工程与自然科学研究理事会;

关键词：

Toeplitz matrices; Toeplitz determinants; spectral analysis; asymptotics;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：437 / 461

页数：25

共 16 条

[1] TRACE FORMULAS FOR TOEPLITZ MATRICES WITH PIECEWISE CONTINUOUS SYMBOLS
BASOR, EL
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 120 (01) : 25 - 38
[2] Inside the eigenvalues of certain Hermitian Toeplitz band matrices
Boettcher, A.
Grudsky, S. M.
Maksimenko, E. A.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) : 2245 - 2264
[3] Bottcher A., 2005, SPECTRAL PROPERTIES
[4] Bottcher A., 1998, INTRO LARGE TRUNCATE
[5] Claeys T., UNPUB
[6] The Widom-Dyson constant for the gap probability in random matrix theory
Deift, P.
Its, A.
Krasovsky, I.
Zhou, X.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (01) : 26 - 47
[7] Deift P., ARXIV12061292
[8] Asymptotics of Toeplitz, Hankel, and Toeplitz plus Hankel determinants with Fisher-Hartwig singularities
Deift, Percy
Its, Alexander
Krasovsky, Icor
[J]. ANNALS OF MATHEMATICS, 2011, 174 (02) : 1243 - 1299
[9] Fisher M. E., 1968, ADV CHEM PHYS, V15, P333, DOI DOI 10.1002/9780470143605.CH18
[10] EIGENVALUE DISTRIBUTION OF TIME AND FREQUENCY LIMITING
LANDAU, HJ
WIDOM, H
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 77 (02) : 469 - 481

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