L.P. CASTRO AND F.-O. SPECK
It is known that the Banach algebra generated by classical Wiener-Hopf operators on the half-line is an algebra with symbol. This concept yields, in particular, a Fredholm criterion and an index formula. In the present paper we introduce a different symbol for the finitely generated algebra. It is based on matricially coupling of operators and implies a representation of a generalized inverse in terms of matrix factorization. Some examples demonstrate how to use these results for a discussion of properties of the solution of singular equations.