Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators
Operator Algebras
2007-05-23 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.math/0608353,
title = {Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators},
author = {V. E. Nazaikinskii and A. Yu. Savin and B. Yu. Sternin},
journal= {arXiv preprint arXiv:math/0608353},
year = {2007}
}
Comments
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)