<?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%">The index of singular integral operators in reflexive Orlicz spaces</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematical Notes</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Carleson curve</style></keyword><keyword><style  face="normal" font="default" size="100%">cusp</style></keyword><keyword><style  face="normal" font="default" size="100%">index formula</style></keyword><keyword><style  face="normal" font="default" size="100%">logarithmic spiral}</style></keyword><keyword><style  face="normal" font="default" size="100%">Singular integral operator</style></keyword><keyword><style  face="normal" font="default" size="100%">symbolic calculus</style></keyword><keyword><style  face="normal" font="default" size="100%">{reflexive Orlicz space</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">1998</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{SEP-OCT}</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://link.springer.com/article/10.1007%2FBF02314841</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">{3-4}</style></number><publisher><style face="normal" font="default" size="100%">{PLENUM PUBL CORP}</style></publisher><pub-location><style face="normal" font="default" size="100%">{CONSULTANTS BUREAU, 233 SPRING ST, NEW YORK, NY 10013 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">64</style></volume><pages><style face="normal" font="default" size="100%">330-341</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 consider the Banach algebra \(\mathfrak{A}\) of singular integral operators with matrix piecewise continuous coefficients in the reflexive Orlicz space \(L_M^n(\Gamma)\). We assume that \(\Gamma\) belongs to a certain wide subclass of the class of Carleson curves; this subclass includes curves with cusps, as well as curves of the logarithmic spiral type. We obtain an index formula for an arbitrary operator from the algebra \(\mathfrak{A}\) in terms of the symbol of this operator.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type></record></records></xml>