Elliptic dilation–contraction problems on manifolds with boundary. C*-theory

We study boundary value problems with dilations and contractions on manifolds with boundary. We construct a C*- algebra of such problems generated by zero-order operators. We compute the trajectory symbols of elements of this algebra, obtain an analog of the Shapiro–Lopatinskii condition for such problems, and prove the corresponding finiteness theorem. © 2016, Pleiades Publishing, Ltd.