The Constants in the Asymptotic Formulas by Rambour and Seghier for Inverses of Toeplitz Matrices

被引：0
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作者：
A. Böttcher
机构：
[1] TU Chemnitz,Fakultät für Mathematik
来源：
Integral Equations and Operator Theory | 2004年 / 50卷
关键词：
Primary 47B35; Secondary 15A09, 34B27, 47N20, 47N30; Toeplitz matrix; singular symbol; entries of the inverse matrix; Green’s function;
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摘要：
Rambour and Seghier established two deep results on the first order asymptotics of the entries of the inverses of certain Toeplitz matrices. The determination of the constants in the leading terms of the asymptotics turns out to be nontrivial. We here show how these constants can be obtained from a well known identity by Duduchava and Roch.
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页码：43 / 55
页数：12
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