Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function

被引：35

作者：

Zamarashkin, NL

Tyrtyshnikov, EE

机构：

来源：

SBORNIK MATHEMATICS | 1997年 / 188卷 / 7-8期

关键词：

D O I：

10.1070/SM1997v188n08ABEH000251

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new approach to the study of asymptotic distributions of eigenvalues and singular values of Toeplitz matrices is presented; this approach involves a matrix criterion for equidistribution. Theorems of Szego type for generating functions in L-1 are obtained.

引用

页码：1191 / 1201

页数：11

共 9 条

[1] ON BILINEAR-FORMS IN GAUSSIAN RANDOM-VARIABLES AND TOEPLITZ MATRICES [J].