Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115420In 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.21 pages, 2 figures. Submitted to the proceedings of the Conference "C*-algebras and elliptic theory. II" (Banach Center, Bedlewo, Poland, January 23--28, 2006)Operator AlgebrasAnalysis of PDEs58J40 (Primary) 47G30, 32S05 (Secondary)Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operatorstext