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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/