Geodesic
On the algebra of operators corresponding to the union of smooth submanifolds
Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 672-682

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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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D. A. Poluektova; A. Yu. Savin; B. Yu. Sternin. On the algebra of operators corresponding to the union of smooth submanifolds. Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 672-682. http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a8/