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

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

1998-09-16

arxiv.org/abs/math/9809088v1

Mathematics

Functional Analysis

Scientific paper

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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