Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XV, Tome 149 (1986), pp. 76-92
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I. M. Spitkovsky. On asymptotics of determinants of block Toeplitz matrices in the locally sectorial case. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XV, Tome 149 (1986), pp. 76-92. http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a5/
@article{ZNSL_1986_149_a5,
author = {I. M. Spitkovsky},
title = {On asymptotics of determinants of block {Toeplitz} matrices in the locally sectorial case},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {76--92},
year = {1986},
volume = {149},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a5/}
}
TY - JOUR
AU - I. M. Spitkovsky
TI - On asymptotics of determinants of block Toeplitz matrices in the locally sectorial case
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 76
EP - 92
VL - 149
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a5/
LA - ru
ID - ZNSL_1986_149_a5
ER -
%0 Journal Article
%A I. M. Spitkovsky
%T On asymptotics of determinants of block Toeplitz matrices in the locally sectorial case
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 76-92
%V 149
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_149_a5/
%G ru
%F ZNSL_1986_149_a5
Conditions are found for a locally sectorial block Toeplitz matrix to satisfy the Szego asymptotic formulae. Conditions are also given under which the finite section method is applicable for such a matrix.
