Asymptotic formulas for determinants of a sum of finite Toeplitz and Hankel matrices

被引：0
|
作者：
Basor, EL [1 ]
Ehrhardt, T
机构：
[1] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA
[2] Tech Univ Chemnitz, Fak Med, D-01907 Chemnitz, Germany
来源：
MATHEMATISCHE NACHRICHTEN | 2001年 / 228卷
关键词：
Toeplitz; Hankel; asymptotics; determinant;
D O I：
10.1002/1522-2616(200108)228:1<5::AID-MANA5>3.0.CO;2-E
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to describe asymptotic formulas for determinants of a sum of finite Toeplitz and Hankel matrices with singular generating functions. The formulas are similar to those of the analogous problem for finite Toeplitz matrices for a certain class of symbols. However, the appearance of the Hankel matrices changes the nature of the asymptotics in some instances depending on the location of the singularities. Several concrete examples are also described in the paper.
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页码：5 / 45
页数：41
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