Desuspension of splitting elliptic symbols. II (Q578691)

[For part I see ibid. 3, 337-383 (1985; Zbl 0599.58041).] In the second part of our paper we continue the study of elliptic operators which take the form \(A=G_ A(\partial /\partial t+B_ t)\) near a submanifold of codimension 1. The index of the general linear conjugation problem (``cutting and pasting'' of elliptic operators) is determined. A thorough analysis of the geometry of Fredholm pairs of subspaces in Hilbert space and especially of the spaces of Cauchy data is undertaken. These methods lead to alternative views of the Calderón projector, the Dirichlet problem, and other local elliptic boundary value problems; views where main results (old and new ones) can be obtained through explicit transparent calculations.