Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izvestiya: Mathematics, 2017, Volume 81, Issue 2, Pages 286–328
DOI: https://doi.org/10.1070/IM8470
(Mi im8470)
 

This article is cited in 41 scientific papers (total in 41 papers)

New integral representations of the Maslov canonical operator in singular charts

S. Yu. Dobrokhotovab, V. E. Nazaikinskiiab, A. I. Shafarevichabcd

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c Lomonosov Moscow State University
d National Research Centre "Kurchatov Institute", Moscow
References:
Abstract: We construct a new integral representation of the Maslov canonical operator convenient in numerical-analytical calculations, present an algorithm implementing this representation, and consider a number of examples.
Keywords: Maslov canonical operator, Fourier integral operator, integral representation, asymptotic formula.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00521-а
13-01-00664-а
Ministry of Education and Science of the Russian Federation НШ-581.2014.1
The research was supported by the Russian Foundation for Basic Research under grants nos. 14-01-00521-a and 13-01-00664-a and by the programme ‘Leading Scientific Schools’ under grant no. NSh-581.2014.1).
Received: 12.11.2015
Revised: 15.03.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2017, Volume 81, Issue 2, Pages 53–96
DOI: https://doi.org/10.4213/im8470
Bibliographic databases:
UDC: 517.9
MSC: Primary 81Q20; Secondary 53D12, 35C20
Language: English
Original paper language: Russian
Citation: S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of the Maslov canonical operator in singular charts”, Izv. RAN. Ser. Mat., 81:2 (2017), 53–96; Izv. Math., 81:2 (2017), 286–328
Citation in format AMSBIB
\Bibitem{DobNazSha17}
\by S.~Yu.~Dobrokhotov, V.~E.~Nazaikinskii, A.~I.~Shafarevich
\paper New integral representations of the Maslov canonical operator in singular charts
\jour Izv. RAN. Ser. Mat.
\yr 2017
\vol 81
\issue 2
\pages 53--96
\mathnet{http://mi.mathnet.ru/im8470}
\crossref{https://doi.org/10.4213/im8470}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3629023}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017IzMat..81..286D}
\elib{https://elibrary.ru/item.asp?id=28931377}
\transl
\jour Izv. Math.
\yr 2017
\vol 81
\issue 2
\pages 286--328
\crossref{https://doi.org/10.1070/IM8470}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000401127400003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019686125}
Linking options:
  • https://www.mathnet.ru/eng/im8470
  • https://doi.org/10.1070/IM8470
  • https://www.mathnet.ru/eng/im/v81/i2/p53
  • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1674
    Russian version PDF:226
    English version PDF:39
    References:116
    First page:71
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024