Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (616 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/cmfd395
  • https://www.mathnet.ru/eng/cmfd/v65/i4/p672
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024