On the Algebra of Operators Corresponding to the Union of Smooth Submanifolds

D. A. Poluektova; A. Yu. Savin; B. Yu. Sternin

doi:10.22363/2413-3639-2019-65-4-672-682

by D. A. Poluektova, A. Yu. Savin, B. Yu. Sternin

Published in Contemporary Mathematics. Fundamental Directions by Peoples' Friendship University of Russia.

2019 Volume 65, p672-682

Abstract

For a pair of smooth transversally intersecting submanifolds in some enveloping smooth manifold, we study the algebra generated by pseudodifferential operators and (co)boundary operators corresponding to submanifolds. We establish that such an algebra has 18 types of generating elements. For operators from this algebra, we define the concept of symbol and obtain the composition formula.
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Date 2019-12-15

DOI 10.22363/2413-3639-2019-65-4-672-682

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