Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2018, Volume 104, Issue 4, Pages 588–603
DOI: https://doi.org/10.4213/mzm11947 (Mi mzm11947) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Traces of Fourier Integral Operators on Submanifolds

P. A. Sipailo

Peoples' Friendship University of Russia, Moscow
Full-text PDF (583 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11947
Abstract: Given a smooth embedding of manifolds and a Fourier integral operator on the ambient manifold, the trace of this operator on the submanifold (i.e., its composition with the boundary and coboundary operators, which is an operator on the submanifold) is considered. Conditions under which such a trace is also a Fourier integral operator are determined, and its amplitude in canonical local coordinates is calculated. The results are applied to quantized canonical transformations.
Keywords: Fourier integral operators, quantized canonical transformations, traces of operators on submanifolds, relative elliptic theory, trace of a Lagrangian manifold.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00373a
Deutsche Forschungsgemeinschaft
Ministry of Education and Science of the Russian Federation 5-100
This work was supported in part by the Russian Foundation for Basic Research under grant 16-01-00373a, by Deutsche Forschungsgemeinschaft (DFG), and by the “RUDN University Program 5-100.”
Received: 30.01.2018
English version:
Mathematical Notes, 2018, Volume 104, Issue 4, Pages 559–571
DOI: https://doi.org/10.1134/S0001434618090225
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: P. A. Sipailo, “On Traces of Fourier Integral Operators on Submanifolds”, Mat. Zametki, 104:4 (2018), 588–603; Math. Notes, 104:4 (2018), 559–571
Citation in format AMSBIB
\Bibitem{Sip18}
\by P.~A.~Sipailo
\paper On Traces of Fourier Integral Operators on Submanifolds
\jour Mat. Zametki
\yr 2018
\vol 104
\issue 4
\pages 588--603
\mathnet{http://mi.mathnet.ru/mzm11947}
\crossref{https://doi.org/10.4213/mzm11947}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3859392}
\elib{https://elibrary.ru/item.asp?id=35601255}
\transl
\jour Math. Notes
\yr 2018
\vol 104
\issue 4
\pages 559--571
\crossref{https://doi.org/10.1134/S0001434618090225}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000451315200022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056730869}
Linking options:
  • https://www.mathnet.ru/eng/mzm11947
  • https://doi.org/10.4213/mzm11947
  • https://www.mathnet.ru/eng/mzm/v104/i4/p588
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:352
    Full-text PDF :52
    References:54
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025