Summary: The consideration of above mentioned operators on the union of intervals and/or rays is reduced to the canonical situation of operators \(W_ K\) on \(L_ p (\mathbb{R}_ +)\) with semi almost periodic presymbols \(K\) at the expense of inflating the size of \(K\). The Fredholm theory (that is, conditions of \(n\)-, \(d\)-normality and the index formula) is developed. In particular, relations between (semi-) Fredholmness of \(W_ K\), invertibility of \(W_{K_ \pm}\) with \(K_ \pm\) being almost periodic representatives of \(K\) at \(\pm \infty\), and factorability of \(K_ \pm\) are established.
For the entire collection see [Zbl 0797.00014].