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arXiv · 1603.00506

Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices

Estelle L. Basor·Torsten Ehrhardt
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Abstract

We compute the asymptotics of the determinants of certain $n\times n$ Toeplitz + Hankel matrices $T_n(a)+H_n(b)$ as $n\to\infty$ with symbols of Fisher-Hartwig type. More specifically we consider the case where $a$ has zeros and poles and where $b$ is related to $a$ in specific ways. Previous results of Deift, Its and Krasovsky dealt with the case where $a$ is even. We are generalizing this in a mild way to certain non-even symbols.

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BibTeXRIS

Estelle L. Basor, Torsten Ehrhardt. 2016-03-01. Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices. https://arxiv.org/abs/1603.00506

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