Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators
Vladimir Evgen'evich Nazaikinskii, A. Yu. Savin, Boris Yu. Sternin · arXiv (Cornell University) · 2006
In this first part of the paper, we define a natural dual object for manifolds with corners and show how pseudodifferential calculus on such manifolds can be constructed in terms of the localization principle in C*-algebras. In the second part, these results will be applied to the solution of Gelfand's problem on the homotopy classification of elliptic operators for the case of manifolds with corners.