Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the~generating function
Sbornik. Mathematics, Tome 188 (1997) no. 8, pp. 1191-1201
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A new approach to the study of asymptotic distributions of eigenvalues and singular values of Toeplitz matrices is presented; this approach involves a matrix criterion for equidistribution. Theorems of Szego type for generating functions in $L_1$ are obtained.
@article{SM_1997_188_8_a5,
author = {N. L. Zamarashkin and E. E. Tyrtyshnikov},
title = {Distribution of eigenvalues and singular values of {Toeplitz} matrices under weakened conditions on the~generating function},
journal = {Sbornik. Mathematics},
pages = {1191--1201},
publisher = {mathdoc},
volume = {188},
number = {8},
year = {1997},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1997_188_8_a5/}
}
TY - JOUR AU - N. L. Zamarashkin AU - E. E. Tyrtyshnikov TI - Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the~generating function JO - Sbornik. Mathematics PY - 1997 SP - 1191 EP - 1201 VL - 188 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1997_188_8_a5/ LA - en ID - SM_1997_188_8_a5 ER -
%0 Journal Article %A N. L. Zamarashkin %A E. E. Tyrtyshnikov %T Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the~generating function %J Sbornik. Mathematics %D 1997 %P 1191-1201 %V 188 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1997_188_8_a5/ %G en %F SM_1997_188_8_a5
N. L. Zamarashkin; E. E. Tyrtyshnikov. Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the~generating function. Sbornik. Mathematics, Tome 188 (1997) no. 8, pp. 1191-1201. http://geodesic.mathdoc.fr/item/SM_1997_188_8_a5/