<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Karlovich, Alexei Yu.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematische Nachrichten</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">determinant</style></keyword><keyword><style  face="normal" font="default" size="100%">nonvanishing partial indices}</style></keyword><keyword><style  face="normal" font="default" size="100%">strong Szego-Widom limit theorem</style></keyword><keyword><style  face="normal" font="default" size="100%">weighted Wiener algebra</style></keyword><keyword><style  face="normal" font="default" size="100%">Wiener-Hopf factorization</style></keyword><keyword><style  face="normal" font="default" size="100%">{block Toeplitz matrix</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://onlinelibrary.wiley.com/doi/10.1002/mana.200510540/abstract</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">{9-10}</style></number><publisher><style face="normal" font="default" size="100%">{WILEY-V C H VERLAG GMBH}</style></publisher><pub-location><style face="normal" font="default" size="100%">{PO BOX 10 11 61, D-69451 WEINHEIM, GERMANY}</style></pub-location><volume><style face="normal" font="default" size="100%">280</style></volume><pages><style face="normal" font="default" size="100%">1118-1127</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We prove asymptotic formulas for block Toeplitz matrices with symbols admitting right and left Wiener-Hopf factorizations such that all partial indices are equal to some integer number. We consider symbols and Wiener-Hopf factorizations in Wiener algebras with weights satisfying natural submultiplicativity, monotonicity, and regularity conditions. Our results complement known formulas for Holder continuous symbols due to Bottcher and Silbermann. &lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type></record></records></xml>