RANDOM TOEPLITZ OPERATORS AND EIGENVALUE DISTRIBUTION

被引：1

作者：

Ke, Wen-Fong ^{[1
,2
]}

Lai, King-Fai ^{[3
]}

Lee, Tsung-Lin ^{[4
]}

Wong, Ngai-Ching ^{[4
]}

机构：

[1] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

[2] Natl Cheng Kung Univ, Res Ctr Theoret Sci, Tainan 701, Taiwan

[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[4] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 09期

关键词：

Random Toeplitz operator; eigenvalue distribution; MATRICES; SYSTEMS; PRECONDITIONERS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the algebraic properties of random Toeplitz operators following Brown and Halmos, and the Fourier theory of Toeplitz forms following Szego. We also study the distribution of the eigenvalue functions of a random Toeplitz matrix.

引用

页码：1717 / 1728

页数：12

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