Riemann-Hilbert problems

Klaus Gürlebeck, Klaus Habetha and Wolfgang Sprößig
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Klaus Gürlebeck: Bauhaus-Universität Weimar
Klaus Habetha: RWTH Aachen
Wolfgang Sprößig: TU Bergakademie Freiberg

Chapter Chapter 9 in Application of Holomorphic Functions in Two and Higher Dimensions, 2016, pp 303-318 from Springer

Abstract: Abstract In his famous dissertation from 1851, Bernhard Riemann (1826–1866) formulated the following problem: In a given bounded domain of the complex plane, determine a holomorphic function, if a relation is prescribed between the boundary values of its real part and its imaginary part. In the case of a linear relation this problem was first considered in 1904 by David Hilbert (1862–1943). For this reason such problems are called Riemann-Hilbert problems. Sometimes also the term Hilbert problem is used.

Date: 2016
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DOI: 10.1007/978-3-0348-0964-1_9

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