Toeplitz determinants with perturbations in the corners

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Toeplitz determinants with perturbations in the corners

The paper is devoted to exact and asymptotic formulas for the determinants of Toeplitz matrices with perturbations by blocks of fixed size in the four corners. If the norms of the inverses of the unperturbed matrices remain bounded as the matrix dimension goes to infinity, then standard perturbation theory yields asymptotic expressions for the perturbed determinants. This premise is not satisfi...

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2015

ISSN: 0022-1236

DOI: 10.1016/j.jfa.2014.10.023