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.
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© 2016 Springer International Publishing, Switzerland
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Gürlebeck, K., Habetha, K., Sprößig, W. (2016). Riemann-Hilbert problems. In: Application of Holomorphic Functions in Two and Higher Dimensions. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0964-1_9
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DOI: https://doi.org/10.1007/978-3-0348-0964-1_9
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0962-7
Online ISBN: 978-3-0348-0964-1
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