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Asymptotic behavior of the determinants of block-triangular matrices in the locally sectorial case

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Abstract

In the paper one finds conditions under which a locally sectorial block-triangular matrix satisfies the Szego asymptotic formula. One formulates also conditions under which the finite section method can be applied to such matrices.

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Authors
  1. I. M. Spitkovskii
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 149, pp. 76–92, 1986.

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Spitkovskii, I.M. Asymptotic behavior of the determinants of block-triangular matrices in the locally sectorial case. J Math Sci 42, 1591–1603 (1988). https://doi.org/10.1007/BF01665045

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  • DOI: https://doi.org/10.1007/BF01665045

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