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Contemporary Mathematics. Fundamental Directions, 2019, Volume 65, Issue 4, Pages 672–682
DOI: https://doi.org/10.22363/2413-3639-2019-65-4-672-682 (Mi cmfd395) 		 
On the algebra of operators corresponding to the union of smooth submanifolds

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

Peoples' Friendship University of Russia (RUDN University), Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2019-65-4-672-682
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.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00176_мол_а
16-01-00373_а
19-01-00574
Document Type: Article
UDC: 917.986.3
Language: Russian
Citation: D. A. Poluektova, A. Yu. Savin, B. Yu. Sternin, “On the algebra of operators corresponding to the union of smooth submanifolds”, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, CMFD, 65, no. 4, RUDN University, M., 2019, 672–682
Citation in format AMSBIB
\Bibitem{PolSavSte19}
\by D.~A.~Poluektova, A.~Yu.~Savin, B.~Yu.~Sternin
\paper On the algebra of operators corresponding to the union of smooth submanifolds
\inbook Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
\serial CMFD
\yr 2019
\vol 65
\issue 4
\pages 672--682
\publ RUDN University
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd395}
\crossref{https://doi.org/10.22363/2413-3639-2019-65-4-672-682}
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