C*-algebras of singular integral operators in domains with oscillating conical singularities

Abstract

 For a domain with singular points on the boundary, we consider a C ^*-algebra of operators acting in the weighted space . It is generated by the operators of multiplication by continuous functions on and the operators where σ is a homogeneous function. We show that the techniques of limit operators apply to define a symbol algebra for . When combined with the local principle, this leads to describing the Fredholm operators in .