<?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><author><style face="normal" font="default" size="100%">Mascarenhas, Helena</style></author><author><style face="normal" font="default" size="100%">Santos, Pedro A.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Finite section method for a Banach algebra of convolution type operators on Lp(R) with symbols generated by PC and SO</style></title><secondary-title><style face="normal" font="default" size="100%">Integral Equations and Operator Theory</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">algebraization</style></keyword><keyword><style  face="normal" font="default" size="100%">essentialization</style></keyword><keyword><style  face="normal" font="default" size="100%">Fourier multiplier</style></keyword><keyword><style  face="normal" font="default" size="100%">homogenization</style></keyword><keyword><style  face="normal" font="default" size="100%">local principle</style></keyword><keyword><style  face="normal" font="default" size="100%">slowly oscillating function</style></keyword><keyword><style  face="normal" font="default" size="100%">two projections theorem}</style></keyword><keyword><style  face="normal" font="default" size="100%">{Finite section method</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{AUG}</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.springerlink.com/content/d7436748p1767u22/</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">{4}</style></number><publisher><style face="normal" font="default" size="100%">{BIRKHAUSER VERLAG AG}</style></publisher><pub-location><style face="normal" font="default" size="100%">{VIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND}</style></pub-location><volume><style face="normal" font="default" size="100%">67</style></volume><pages><style face="normal" font="default" size="100%">559-600</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;script src='https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML'&gt;&lt;/script&gt;&lt;p&gt;We prove necessary and sufficient conditions for the applicability of the finite section method to an arbitrary operator in the Banach algebra generated by the operators of multiplication by piecewise continuous functions and the convolution operators with symbols in the algebra generated by piecewise continuous and slowly oscillating Fourier multipliers on \(L^p(\mathbb{R})\), \(1 &amp;lt; p &amp;lt; \infty\). &lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type></record></records></xml>