ON THE SYMBOL OF ALGEBRAS GENERATED BY SINGULAR INTEGRAL OPERATORS

Vasile NEAGU Universitatea de Stat din Moldova

Abstract

In the work it is defined the symbol on algebras generated by singular integral operators with complex conjugation and with of Carleman typ. Noetherian condition and computing formulae of the index for operators of this algebras are formulated in terms of the symbol. Keywords: singular integral operator, noetherian operators, Banach algebra, symbol.