Szego limits for infinite Toeplitz matrices determined by the Taylor series of two rational functions

被引：0

作者：

Sakhnovich, A ^{[1
]}

机构：

[1] Univ Glamorgan, Sch Technol, Div Math, Pontypridd CF37 1DL, M Glam, Wales

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 343卷

关键词：

Toeplitz matrix; Szego limit; realization;

D O I：

10.1016/S0024-3795(01)00402-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Explicit expressions for the well-known Szego limits are obtained for the cases when the upper and lower triangular parts of the Toeplitz matrix are determined separately by the Taylor series of rational matrix functions and the exponential growth of the entries is permissible. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：291 / 302

页数：12

共 13 条

[1] [Anonymous], 1969, TOPICS MATH SYSTEMS
[2] Basor E. L., 1994, OPERATOR THEORY ADV, V71
[3] BASOR EL, 1994, MATH NACHR, V170, P5
[4] Bottcher A., 1999, INTRO LARGE TRUNCATE
[5] TOEPLITZ MATRICES GENERATED BY LAURENT SERIES EXPANSION OF AN ARBITRARY RATIONAL FUNCTION
DAY, KM
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 206 (MAY) : 224 - 245
[6] SZEGO-KAC-ACHIEZER FORMULAS IN TERMS OF REALIZATIONS OF THE SYMBOL
GOHBERG, I
KAASHOEK, MA
VANSCHAGEN, F
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 74 (01) : 24 - 51
[7] GOHBERG I, 1992, ASYMPTOTIC ANAL, V5, P187
[8] GORODETSKY M, 1981, TOEPLITZ DETERMINANT
[9] Krein M. G., 1983, ANAL MATH, V9, P23
[10] Toeplitz matrices with an exponential growth of entries and the first Szego limit theorem
Sakhnovich, A
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 171 (02) : 449 - 482

← 1 2 →