Published February 28, 2011 | Version v1
Journal article Metadata-only

Riemann-Hilbert problem for scalar Fuchsian equations and related problems

Creators

  • 1. A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow (Russian Federation)

Description

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, van der Put and Singer, and the author, 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.

Availability note (English)

Available from http://dx.doi.org/10.1070/RM2011v066n01ABEH004727

Additional details

Identifiers

DOI
10.1070/RM2011v066n01ABEH004727;

Publishing Information

Journal Title
Russian Mathematical Surveys
Journal Volume
66
Journal Issue
1
Journal Page Range
p. 35-62
ISSN
0036-0279
CODEN
RMSUAF

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43029326
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
HILBERT SPACE; RIEMANN SPACE; SCALARS; SINGULARITY
Descriptors DEC
BANACH SPACE; MATHEMATICAL SPACE; SPACE