Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2011, Volume 66, Issue 1, Pages 35–62
DOI: https://doi.org/10.1070/RM2011v066n01ABEH004727 (Mi rm9405) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Riemann–Hilbert problem for scalar Fuchsian equations and related problems

I. V. Vyugin

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
English version PDF (536 kB) Citations (2) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2011v066n01ABEH004727
Abstract: This paper is devoted to the Riemann–Hilbert problem for scalar Fuchsian equations: the problem of constructing a scalar Fuchsian equation from a representation of the monodromy and a family of singular points. The results of Bolibrukh [5], van der Put and Singer [7], and the author [10], generalized to a unified theorem provided with a new proof, form the main part of the paper. Some possible applications of these results are also discussed.
Bibliography: 16 titles.
Keywords: Fuchsian equations and systems, Riemann–Hilbert problem, monodromy, bundle, connection.
Received: 08.12.2010
Bibliographic databases:
Document Type: Article
UDC: 517.927.7
MSC: Primary 35Q15; Secondary 30E25, 31A25, 31B20, 34M50
Language: English
Original paper language: Russian
Citation: I. V. Vyugin, “Riemann–Hilbert problem for scalar Fuchsian equations and related problems”, Russian Math. Surveys, 66:1 (2011), 35–62
Citation in format AMSBIB
\Bibitem{Vyu11}
\by I.~V.~Vyugin
\paper Riemann--Hilbert problem for scalar Fuchsian equations and related problems
\jour Russian Math. Surveys
\yr 2011
\vol 66
\issue 1
\pages 35--62
\mathnet{http://mi.mathnet.ru//eng/rm9405}
\crossref{https://doi.org/10.1070/RM2011v066n01ABEH004727}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841685}
\zmath{https://zbmath.org/?q=an:1220.30050}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011RuMaS..66...35V}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000294605900002}
\elib{https://elibrary.ru/item.asp?id=20423144}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959543318}
Linking options:
  • https://www.mathnet.ru/eng/rm9405
  • https://doi.org/10.1070/RM2011v066n01ABEH004727
  • https://www.mathnet.ru/eng/rm/v66/i1/p37
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:827
    Russian version PDF:356
    English version PDF:29
    References:96
    First page:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024