@article { ISI:000245447000003,
	title = {Asymptotics of determinants and traces of Toeplitz matrices with symbols in weighted Wiener algebras},
	journal = {Zeitschrift f{\"u}r Analysis und ihre Anwendungen},
	volume = {26},
	number = {{1}},
	year = {2007},
	pages = {43-56},
	publisher = {{HELDERMANN VERLAG}},
	type = {{Article}},
	address = {{LANGER GRABEN 17, 32657 LEMGO, GERMANY}},
	abstract = {<p>We prove asymptotic formulas for determinants and traces of finite block Toeplitz matrices with symbols belonging to Wiener algebras with weights satisfying natural submultiplicativity, monotonicity, and regularity conditions. The remainders in these formulas depend on the weights and go rapidly to zero for very smooth symbols. These formulas refine or extend some previous results by Szeg{\"o}, Widom, Bottcher, and Silbermann.</p>
},
	keywords = {canonical Wiener-Hopf factorization, determinant, strong Szego-Widom limit theorem}, trace, weighted Wiener algebra, {block Toeplitz matrix},
	issn = {{0232-2064}},
	url = {http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064\&vol=26\&iss=1\&rank=3},
	author = {Karlovich, Alexei Yu.}
}
