B. Yu. Sternin scite author profile

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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B. Yu. Sternin

Quantization Methods in the Theory of Differential Equations

Lagrangian Manifolds and the Maslov Operator

Elliptic Theory on Singular Manifolds

Homotopy classification of elliptic operators on stratified manifolds

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