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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)
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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
Russian version:
Uspekhi Matematicheskikh Nauk, 2011, Volume 66, Issue 1(397), Pages 37–64
DOI: https://doi.org/10.4213/rm9405
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”, Uspekhi Mat. Nauk, 66:1(397) (2011), 37–64; Russian Math. Surveys, 66:1 (2011), 35–62
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    References:93
    First page:36
     
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