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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
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.
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
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https://www.mathnet.ru/eng/cmfd395 https://www.mathnet.ru/eng/cmfd/v65/i4/p672
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Abstract page: | 145 | Full-text PDF : | 63 | References: | 17 |
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