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

V. E. Nazaikinskii·A. Yu. Savin·B. Yu. Sternin
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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.

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V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin. 2006-08-14. Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators. https://arxiv.org/abs/math/0608353

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