what potential applications has the Riemann-Hilbert problem?(adsbygoogle = window.adsbygoogle || []).push({});

is there more than one Riemann-Hilbert problem ? for example in Zeidler ' Quantum Field Theory' he defines the R-H problem as the solution of

[tex] F(x+iy)-F(x-iy)=g(x) [/tex]

for a given g(x) and unknown F(z) HOlomorphic function

however Wikipedia http://en.wikipedia.org/wiki/Riemann–Hilbert_problem defines it into a different way, in some pages i heard it had to deal with renormalization in physics or something similar.

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# Riemann-Hilbert problem

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